Jerzy Plebański

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All published works

Action	Title	Year	Authors
+	Relativistic cosmology IV: simple generalisations of L–T and related geometries	2024	Jerzy Plebański Andrzej Krasiński
+	Relativistic cosmology I: general geometry	2024	Jerzy Plebański Andrzej Krasiński
+	Relativistic cosmology III: the LemaÎtre–Tolman geometry	2024	Jerzy Plebański Andrzej Krasiński
+	* The Petrov classication by the spinor method	2024	Jerzy Plebański Andrzej Krasiński
+	Symmetries of Riemann spaces, invariance of tensors	2024	Jerzy Plebański Andrzej Krasiński
+	Relativistic cosmology II: the Robertson–Walker geometry	2024	Jerzy Plebański Andrzej Krasiński
+	Parallel transport and geodesic lines	2024	Jerzy Plebański Andrzej Krasiński
+	How the theory of relativity came into being (a brief historical sketch)	2024	Jerzy Plebański Andrzej Krasiński
+	The curvature of a manifold; at manifolds	2024	Jerzy Plebański Andrzej Krasiński
+	Riemannian geometry	2024	Jerzy Plebański Andrzej Krasiński
+	The curvature of a manifold; flat manifolds	2006	Jerzy Plebański Andrzej Krasiński
+	Parallel transport and geodesic lines	2006	Jerzy Plebański Andrzej Krasiński
+	Riemannian geometry	2006	Jerzy Plebański Andrzej Krasiński
+	Relativistic cosmology I: general geometry	2006	Jerzy Plebański Andrzej Krasiński
+	Relativistic hydrodynamics and thermodynamics	2006	Jerzy Plebański Andrzej Krasiński
+	The Kerr solution	2006	Jerzy Plebański Andrzej Krasiński
+	Relativistic cosmology II: the Robertson–Walker geometry	2006	Jerzy Plebański Andrzej Krasiński
+	Relativistic cosmology IV: generalisations of L–T and related geometries	2006	Jerzy Plebański Andrzej Krasiński
+	Relativistic cosmology III: the Lemaître–Tolman geometry	2006	Jerzy Plebański Andrzej Krasiński
+	Methods to calculate the curvature quickly – Cartan forms and algebraic computer programs	2006	Jerzy Plebański Andrzej Krasiński
+	Symmetries of Riemann spaces, invariance of tensors	2006	Jerzy Plebański Andrzej Krasiński
+	Integrability of SDYM Equations for the Moyal Bracket Lie Algebra	2005	Maciej Przanowski Jerzy Plebański Sebastian Formański
+	On Vacuum Twisting Type-N Again	2003	Jerzy Plebański Maciej Przanowski
+ PDF Chat	Deformation quantization of geometric quantum mechanics	2002	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski Francisco J. Turrubiates
+ PDF Chat	D-branes on group manifolds and deformation quantization	2001	Hugo Garcı́a-Compeán Jerzy Plebański
+	Deformation Quantization of sdiff($\Sigma_{2}$) SDYM Equation	2001	Maciej Przanowski Jerzy Plebański Sebastian Formański
+ PDF Chat	DEFORMATION QUANTIZATION OF CLASSICAL FIELDS	2001	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski Francisco J. Turrubiates
+	Deformation Quantization of sdiff($Σ_{2}$) SDYM Equation	2001	Maciej Przanowski Jerzy Plebański Sebastian Formański
+ PDF Chat	Non-vacuum twisting type-N metrics	2000	Paweł Nurowski Jerzy Plebański
+ PDF Chat	Deformation quantization of bosonic strings	2000	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski Francisco J. Turrubiates
+	Matrix Representation of the Generalized Moyal Algebra	2000	Jerzy Plebański Maciej Przanowski Francisco J. Turrubiates
+	Remarks on Deformation Quantization on the Cylinder	2000	Jerzy Plebański Maciej Przanowski Jaromir Tosiek Francisco J. Turrubiates
+ PDF Chat	Weyl-Underhill-Emmrich quantization and the Stratonovich-Weyl quantizer	2000	Jerzy Plebański Maciej Przanowski Francisco J. Turrubiates
+	Matrix representation of the generalized Moyal algebra	2000	Jerzy Plebański Maciej Przanowski Francisco J. Turrubiates
+	Non-vacuum twisting type N metrics	2000	Paweł Nurowski Jerzy Plebański
+ PDF Chat	The generalized Moyal–Nahm and continuous Moyal–Toda equations	1999	Carlos Castro Jerzy Plebański
+ PDF Chat	Towards a gravitational analogue to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>duality in non-Abelian gauge theories	1998	Hugo Garcı́a-Compeán Octavio Obregón Jerzy Plebański C. Ramírez
+	Hermite-Einstein four-dimensional manifolds with symmetry	1998	Jerzy Plebański Maciej Przanowski
+ PDF Chat	ON THE REDUCED SU(N) GAUGE THEORY IN THE WEYL–WIGNER–MOYAL FORMALISM	1998	Hugo Garcı́a-Compeán Jerzy Plebański Norma Quiroz-Perez
+	A note on the iterative approach to twisting type N solutions	1998	Lourdes Palacios Jerzy Plebański
+ PDF Chat	On the Weyl-Wigner-Moyal description of SU (∞) Nahm equations	1997	Hugo Garcı́a-Compeán Jerzy Plebański
+ PDF Chat	An iterative approach to twisting and diverging, type-N, vacuum Einstein equations: a (third-order) resolution of Stephani's `paradox'	1997	J. D. Finley Jerzy Plebański Maciej Przanowski
+	GEOMETRY ASSOCIATED WITH SELF-DUAL YANG-MILLS AND THE CHIRAL MODEL APPROACHES TO SELF-DUAL GRAVITY	1997	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski
+	The Geometry of Deformation Quantization and Self-Dual Gravity	1997	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski
+	Differential Forms, Hopf Algebra and General Relativity I	1997	Jerzy Plebański Guadalupe Moreno Francisco J. Turrubiates
+	Geometry Associated with Self-dual Yang-Mills and the Chiral Model Approaches to Self-dual Gravity	1997	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski
+	A Note on the String Action Derivation From Reduced SU(N) Gauge Theory Via Weyl-Wigner-Moyal Formalism	1996	Hugo Garcı́a-Compeán Jerzy Plebański Norma Quiroz-Perez
+ PDF Chat	Further remarks on the chiral model approach to self-dual gravity	1996	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski
+ PDF Chat	FROM PRINCIPAL CHIRAL MODEL TO SELF-DUAL GRAVITY	1996	Jerzy Plebański Maciej Przanowski Hugo Garcı́a-Compeán
+ PDF Chat	The Lagrangian of a self-dual gravitational field as a limit of the SDYM Lagrangian	1996	Jerzy Plebański Maciej Przanowski
+ PDF Chat	A q-DEFORMED VERSION OF THE HEAVENLY EQUATIONS	1995	Jerzy Plebański Hugo Garcı́a-Compeán
+	An embedding of a Schwarzschild black hole in terms of elementary functions.	1995	Jerzy Plebański
+	The Moyal deformation of the second heavenly equation	1995	Jerzy Plebański Maciej Przanowski B. Rajca Jaromir Tosiek
+ PDF Chat	Evolution hyperheavenly equations	1994	Jerzy Plebański Maciej Przanowski
+	A Hopf algebra structure in self-dual gravity	1994	Hugo Garcı́a-Compeán Jerzy Plebański Laura E. Morales
+ PDF Chat	Axisymmetric stationary solutions as harmonic maps	1994	Tonatiuh Matos Jerzy Plebański
+	A Note on Weak ${\cal H}$-Spaces, Heavenly Equations and their Evolution Weak Heavenly Equations	1994	Jerzy Plebański Hugo Garcı́a-Compeán
+	On Self-dual Gravity Structures on Ground Ring Manifolds in Two-Dimensional String Theory	1994	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski
+	A Hopf Algebra Structure in Self-dual Gravity	1994	Hugo Garcı́a-Compeán Laura E. Morales Jerzy Plebański
+	The Cauchy-Kovalevski form for the second heavenly equation	1993	J. D. Finley Jerzy Plebański Maciej Przanowski Hugo Garcı́a-Compeán
+	Conformal curvature and spherical symmetry	1993	R. H. Boyer Jerzy Plebański
+	On self-dual gravity structures on ground ring manifolds in two-dimensional string theory	1993	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski
+	Comments on twisting type N vacuum equations	1991	Jerzy Plebański Maciej Przanowski
+	Two-sided conformally recurrent four-dimensional Riemannian manifolds	1989	Jerzy Plebański Maciej Przanowski
+	On linear unitary transformations of two canonical variables	1989	Jerzy Plebański J. D. Finley
+	Congruences of totally geodesic surfaces	1989	Jerzy Plebański Krzysztof Rózga
+ PDF Chat	Notes on a cross product of vectors	1988	Jerzy Plebański Maciej Przanowski
+	Wronskians, geometry, and some general solutions to the nonlinear Liouville-like PDE’s	1988	Jerzy Plebański
+	Generalizations of the quaternion algebra and Lie algebras	1988	Jerzy Plebański Maciej Przanowski
+	An infinite hierarchy of conservation laws and nonlinear superposition principles for self-dual Einstein spaces	1985	Charles P. Boyer Jerzy Plebański
+	Conformally self-dual spaces and Maxwell's equations	1984	Charles P. Boyer Jerzy Plebański
+	Grassmann-Cartan algebra and Klein-Gordon equations	1984	Jerzy Plebański
+	The optics of null strings	1984	Jerzy Plebański Krzysztof Rózga
+	Symmetries of the Dirac equation	1984	D. L. Pursey Jerzy Plebański
+	Solutions of type <i>D</i> possessing a group with null orbits as contractions of the seven-parameter solution	1982	Alberto García D. Jerzy Plebański
+	ℋℋ spaces with an algebraically degenerate right side	1982	Jerzy Plebański G. F. Torres del Castillo
+	All algebraically degenerate ℋ spaces, via ℋℋ spaces	1981	J. D. Finley Jerzy Plebański
+	Partial isometries and quotient structures in Hilbert spaces	1980	Jerzy Plebański T. H. Seligman
+	Complex General Relativity Hilbert....	1980	Charles P. Boyer J. D. Finley Jerzy Plebański
+	The classification of all ℋ spaces admitting a Killing vector	1979	J. D. Finley Jerzy Plebański
+	The algebra generated by Hodge’s star and external differential	1979	Jerzy Plebański
+	General relativity and G-structures I. general theory and algebraically degenerate spaces	1978	Charles P. Boyer Jerzy Plebański
+ PDF Chat	A few properties of a certain class of degenerate space-times	1978	J. K. Kowalczyński Jerzy Plebański
+ PDF Chat	Metric and ricci tensors for a certain class of space-times ofD type	1978	J. K. Kowalczyński Jerzy Plebański
+	Killing vectors in plane HH spaces	1978	J. D. Finley Jerzy Plebański
+	Complex general relativity, eta and eta eta spaces - A survey	1978	Charles P. Boyer J. D. Finley Jerzy Plebański
+	Killing structures and complex E-potentials	1977	Frederick J. Ernst Jerzy Plebański
+	Seven parametric type-D solutions of einstein-maxwell equations in the basic left-degenerate representation	1977	A. García D. Jerzy Plebański
+	Heavens and their integral manifolds	1977	Charles P. Boyer Jerzy Plebański
+	General relativity and g - structures . I general theory and algebraically degenerate spaces	1977	Charles P. Boyer Jerzy Plebański
+	The Complex Vacuum Metric with Minimally Degenerated Conformal Curvature	1977	Jerzy Plebański Ivor Robinson
+	Some basic properties of Killing spinors	1976	Shahen Hacyan Jerzy Plebański
+	The intrinsic spinorial structure of hyperheavens	1976	J. D. Finley Jerzy Plebański
+	Left-Degenerate Vacuum Metrics	1976	Jerzy Plebański Ivor Robinson
+	Some type III solutions of the Einstein-Maxwell equations	1975	Shahen Hacyan Jerzy Plebański
+	Null geodesic surfaces and Goldberg–Sachs theorem in complex Riemannian spaces	1975	Jerzy Plebański Shahen Hacyan
+ PDF Chat	Some solutions of complex Einstein equations	1975	Jerzy Plebański
+	Symmetric tensors and the trace operator	1970	Jerzy Plebański
+	Combinatorial approach to Baker-Campbell-Hausdorff exponents	1970	Bogdan Mielnik Jerzy Plebański
+	Explicit solution of the continuous Baker-Campbell-Hausdorff problem and a new expression for the phase operator	1969	Iwo Białynicki‐Birula Bogdan Mielnik Jerzy Plebański
+	Coordinate Conditions	1961	Jerzy Plebański J. Ryten

Common Coauthors

Coauthor	Papers Together
Maciej Przanowski	28
Andrzej Krasiński	20
Hugo García‐Compeán	20
J. D. Finley	9
Francisco J. Turrubiates	8
Charles P. Boyer	7
Shahen Hacyan	3
Sebastian Formański	3
Ivor Robinson	2
Jaromir Tosiek	2
Krzysztof Rózga	2
Laura E. Morales	2
J. K. Kowalczyński	2
Bogdan Mielnik	2
Norma Quiroz-Perez	2
A. García D.	1
Paweł Nurowski	1
Guadalupe Moreno	1
Paweł Nurowski	1
J. Ryten	1
Frederick J. Ernst	1
Lourdes Palacios	1
Tonatiuh Matos	1
Alberto García D.	1
B. Rajca	1
Carlos Castro	1
C. Ramírez	1
Andrzej Krasiński	1
Octavio Obregón	1
R. H. Boyer	1
G. F. Torres del Castillo	1
T. H. Seligman	1
D. L. Pursey	1
Iwo Białynicki‐Birula	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Some solutions of complex Einstein equations	1975	Jerzy Plebański	17
+	Solutions of the Einstein and Einstein-Maxwell Equations	1969	G. Debney R. P. Kerr Alfred Schild	13
+	Null geodesic surfaces and Goldberg–Sachs theorem in complex Riemannian spaces	1975	Jerzy Plebański Shahen Hacyan	12
+	The intrinsic spinorial structure of hyperheavens	1976	J. D. Finley Jerzy Plebański	11
+ PDF Chat	A geometry for multidimensional integrable systems	1997	Ian A. B. Strachan	9
+	Left-Degenerate Vacuum Metrics	1976	Jerzy Plebański Ivor Robinson	9
+	Heavens and their integral manifolds	1977	Charles P. Boyer Jerzy Plebański	8
+ PDF Chat	A simple geometrical construction of deformation quantization	1994	Boris Fedosov	7
+ PDF Chat	The Lagrangian of a self-dual gravitational field as a limit of the SDYM Lagrangian	1996	Jerzy Plebański Maciej Przanowski	6
+ PDF Chat	FROM PRINCIPAL CHIRAL MODEL TO SELF-DUAL GRAVITY	1996	Jerzy Plebański Maciej Przanowski Hugo Garcı́a-Compeán	6
+	Deformation theory and quantization. I. Deformations of symplectic structures	1978	F. Bayen M. Flato C. Frønsdal André Lichnerowicz Daniel Sternheimer	6
+ PDF Chat	Further remarks on the chiral model approach to self-dual gravity	1996	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski	6
+	An infinite hierarchy of conservation laws and nonlinear superposition principles for self-dual Einstein spaces	1985	Charles P. Boyer Jerzy Plebański	5
+	Deformation theory and quantization. II. Physical applications	1978	F. Bayen M. Flato C. Frønsdal André Lichnerowicz Daniel Sternheimer	5
+	The Moyal algebra and integrable deformations of the self-dual Einstein equations	1992	Ian A. B. Strachan	5
+ PDF Chat	Nonabelian KP hierarchy with Moyal algebraic coefficients	1994	Kanehisa Takasaki	4
+ PDF Chat	Deformation Quantization of Poisson Manifolds	2003	Maxim Kontsevich	4
+	Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras	1990	D. B. Fairlie P. Thomas Fletcher Cosmas Zachos	4
+	The optics of null strings	1984	Jerzy Plebański Krzysztof Rózga	4
+	Real slices of complex space-time in general relativity	1977	Krzysztof Rózga	4
+	Some basic properties of Killing spinors	1976	Shahen Hacyan Jerzy Plebański	4
+ PDF Chat	Dressing operator approach to Moyal algebraic deformation of selfdual gravity	1994	Kanehisa Takasaki	3
+ PDF Chat	A connection between the Einstein and Yang-Mills equations	1989	Lionel Mason Ezra T. Newman	3
+	Nondiverging algebraically special ?-spaces	1977	C. W. Fette Allen I. Janis Ezra T. Newman	3
+ PDF Chat	String theory and noncommutative geometry	1999	Nathan Seiberg Edward Witten	3
+ PDF Chat	Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations	1968	Brandon Carter	3
+	An example of cancellation of infinities in the star-quantization of fields	1993	Joseph Dito	3
+	GEOMETRY ASSOCIATED WITH SELF-DUAL YANG-MILLS AND THE CHIRAL MODEL APPROACHES TO SELF-DUAL GRAVITY	1997	Hugo Garcı́a-Compeán Jerzy Plebański Maciej Przanowski	3
+	Killing vectors in self-dual, Euclidean Einstein spaces	1982	Charles P. Boyer J. D. Finley	3
+ PDF Chat	Relativistic quantum kinematics in the Moyal representation	1990	José F. Cariñena JoséM. Garcia-Bondia Joseph C. Várilly	3
+	Foundations of Differential Geometry	1963	Shôshichi Kobayashi Katsumi Nomizu	3
+	Deformation Quantization and Index Theory	1995	Boris Fedosov	3
+	Star-product approach to quantum field theory: The free scalar field	1990	Joseph Dito	3
+	2D SIGMA MODEL APPROACH TO 4D INSTANTONS	1992	Q‐Han Park	3
+ PDF Chat	On self-dual gravity	1993	James D. E. Grant	3
+ PDF Chat	D-branes and deformation quantization	1999	Volker Schomerus	2
+ PDF Chat	Relativistic Quantum Theory	2020	James E. Dodd Ben Gripaios	2
+	Extended conformal symmetries in real heavens	1990	Q‐Han Park	2
+	Generalizations of the quaternion algebra and Lie algebras	1988	Jerzy Plebański Maciej Przanowski	2
+ PDF Chat	Quantum theory in curved spacetime using the Wigner function	1997	Frank Antonsen	2
+	A note on the solutions of the diverging, twisting type N vacuum field equations	1993	Hans Stephani	2
+	Cross Products of Vectors in Higher Dimensional Euclidean Spaces	1983	William S. Massey	2
+	Killing structures and complex E-potentials	1977	Frederick J. Ernst Jerzy Plebański	2
+	The uniqueness of the Moyal algebra	1990	P. Thomas Fletcher	2
+ PDF Chat	Harmonic maps into Lie groups: classical solutions of the chiral model	1989	Karen Uhlenbeck	2
+ PDF Chat	Wigner trajectory characteristics in phase space and field theory	1999	Thomas Curtright Cosmas Zachos	2
+ PDF Chat	Symmetry and separation of variables for the Helmholtz and Laplace equations	1976	Charles P. Boyer E. G. Kalnins Willard Miller	2
+	Geometrical Structures of M-Theory	1996	Emil J. Martinec	2
+ PDF Chat	Integrability of the self-dual membranes in (4+1) dimensions and the Toda lattice	1989	E.G. Floratos G.K. Leontaris	2
+	Deformations of the Hodge map and optical geometry	1984	Andrzej Trautman	2