William A. Karr

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All published works

Action	Title	Year	Authors
+ PDF Chat	Convex functions and geodesic connectedness of space-times	2017	Stephanie Alexander William A. Karr
+	Convexity and curvature in Lorentzian geometry	2017	William A. Karr
+	Space-time convex functions and sectional curvature	2017	Stephanie Alexander William A. Karr
+ PDF Chat	Space-Time Convex Functions and Sectional Curvature	2017	Stephanie Alexander William A. Karr
+	Space-time convex functions and sectional curvature	2017	Stephanie Alexander William A. Karr
+	Convex Functions and Geodesic Connectedness of Space-times	2015	Stephanie Alexander William A. Karr
+	Convex Functions and Geodesic Connectedness of Space-times	2015	Stephanie Alexander William A. Karr
+ PDF Chat	Level density and level-spacing distributions of random, self-adjoint, non-Hermitian matrices	2011	Yogesh N. Joglekar William A. Karr
+ PDF Chat	Numerical approach to the Schrödinger equation in momentum space	2010	William A. Karr Christopher R. Jamell Yogesh N. Joglekar

Common Coauthors

Coauthor	Papers Together
Stephanie Alexander	6
Yogesh N. Joglekar	2
Christopher R. Jamell	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Lorentz and semi-Riemannian spaces with Alexandrov curvature bounds	2008	Stephanie Alexander Richard L. Bishop	4
+ PDF Chat	Convex functions and spacetime geometry	2001	G. W. Gibbons Akihiro Ishibashi	4
+	Gap theorems for noncompact Riemannian manifolds	1982	Robert E. Greene H. Wu	4
+	Manifolds of Nonpositive Curvature	1985	Werner Ballmann Mikhael Gromov Viktor Schroeder	4
+ PDF Chat	Comparison and rigidity theorems in semi-Riemannian geometry	1998	Lars Andersson Ralph Howard	4
+ PDF Chat	Semiconcave Functions in Alexandrov’s Geometry	2006	Anton Petrunin	3
+	On Spherical Image Maps Whose Jacobians Do Not Change Sign	1959	Philip Hartman Louis Nirenberg	2
+ PDF Chat	On the Structure of Complete Manifolds of Nonnegative Curvature	1972	Jeff Cheeger Detlef Gromoll	2
+	The total curvature of immersed manifolds	1982	邦彦陳	2
+	Geometric analysis of the Lorentzian distance function on trapped submanifolds	2016	Luis J. Alı́as G. Pacelli Bessa Jorge H. de Lira	2
+ PDF Chat	The existence of geodesics joining two given points	1974	William B. Gordon	2
+	Comparison theorems in Lorentzian geometry and applications to spacelike hypersurfaces	2011	Debora Impera	2
+	Maximum principles on Riemannian manifolds and applications	2005	Stefano Pigola Marco Rigoli Alberto G. Setti	2
+ PDF Chat	On the fundamental group of a complete globally hyperbolic Lorentzian manifold with a lower bound for the curvature tensor	2015	Jun-ichi Mukuno	2
+	Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field	2017	Rossella Bartolo Anna María Candela José Luis Flores Dorado	2
+ PDF Chat	Convex regions of Lorentzian manifolds	1994	Antonio Masiello	2
+	Geodesics in semi-Riemannian Manifolds: Geometric Properties and Variational Tools	2008	Anna María Candela Miguel Sánchez	2
+	On Level Sets of Lorentzian Distance Function	2003	Fazilet Erkekog̃lu Eduardo García‐Río Demir N. Küpeli	2
+	Vanishing and Finiteness Results in Geometric Analysis: A Generalization of the Bochner Technique	2008	Stefano Pigola Marco Rigoli Alberto G. Setti	2
+ PDF Chat	The spherical images of convex hypersurfaces	1974	H. Wu	2
+ PDF Chat	Geometric analysis of Lorentzian distance function on spacelike hypersurfaces	2010	Luis J. Alı́as Ana Hurtado Vicente Palmer	2
+ PDF Chat	Convex-supporting domains on spheres	1974	Stephanie Alexander Richard L. Bishop	2
+ PDF Chat	Manifolds of negative curvature	1969	Richard L. Bishop Barrett O’Neill	2
+	Global Lorentzian Geometry	2017	John K. Beem Paul E. Ehrlich Kevin L. Easley	2
+	A Morse theory for geodesics on a Lorentz manifold	1975	Karen Uhlenbeck	2
+	Bound states of<i>n</i>-dimensional harmonic oscillator decorated with Dirac delta functions	2005	Ersan Demiralp	1
+	Convex Functions and Optimization Methods on Riemannian Manifolds	1994	Constantin Udrişte	1
+ PDF Chat	On the total curvature of immersed manifolds. II.	1958	Shiing-Shen Chern Richard Lashof	1
+	The limiting spectral distribution of the product of the Wigner matrix and a nonnegative definite matrix	2010	Zhidong Bai L. X. Zhang	1
+	An Invitation to Modern Number Theory	2006	Steven J. Miller Ramin Takloo-Bighash	1
+ PDF Chat	Geodesic connectedness and conjugate points in GRW space–times	2000	José Luis Flores Miguel Sánchez	1
+ PDF Chat	Complex Extension of Quantum Mechanics	2002	Carl M. Bender Dorje C. Brody H. F. Jones	1
+	An Invitation to Modern Number Theory	2020	Steven J. Miller Ramin Takloo-Bighash	1
+	A Derivation of n-Dimensional Spherical Coordinates	1960	Leslie E. Blumenson	1
+	Riemannian geometry	1989	Ryszard Mrugała	1
+	SEMI-RIEMANNIAN GEOMETRY With Applications to Relativity	1984	M. A. H. MacCallum	1
+ PDF Chat	Non-Hermiticity and Universality	2001	Pragya Shukla	1
+	On the fundamental group of semi-Riemannian manifolds with positive curvature operator	2017	Jun-ichi Mukuno	1
+	Superstatistical generalizations of Wishart–Laguerre ensembles of random matrices	2009	A. Y. Abul-Magd Gernot Akemann Pierpaolo Vivo	1
+ PDF Chat	Maximal couplings in -symmetric chain models with the real spectrum of energies	2007	Miloslav Znojil	1
+ PDF Chat	Smoothness of Time Functions and the Metric Splitting of Globally Hyperbolic Spacetimes	2005	Antonio Bernal Miguel Sánchez	1
+ PDF Chat	Numerical approach to the Schrödinger equation in momentum space	2010	William A. Karr Christopher R. Jamell Yogesh N. Joglekar	1
+	Singularity theorems based on trapped submanifolds of arbitrary co-dimension	2010	Gregory J. Galloway José M. M. Senovilla	1
+	Manifolds of Nonpositive Curvature	1985	Werner Ballmann Mikhael Gromov Viktor Schroeder	1
+	Variational methods in Lorentzian geometry	2017	Antonio Masiello	1
+ PDF Chat	Global hyperbolicity and Palais–Smale condition for action functionals in stationary spacetimes	2008	Anna María Candela José Luis Flores Miguel Sánchez	1
+	Connection by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field	2014	Rossella Bartolo Anna María Candela José Luis Flores	1
+	Recent Developments in Pseudo-Riemannian Geometry	2008	Dmitri V. Alekseevsky Helga Baum	1
+	"Dilute" excitons in a double layer system: single-exciton and mean-field approach	2009	Christopher R. Jamell Changhua Zhang Yogesh N. Joglekar	1
+	Applications of Random Matrices in Physics	2006	E. Brézin Vladimir Kazakov Didina Serban P. Wiegmann A. Zabrodin	1