Larry Bates

Generating author description...

All published works

Action	Title	Year	Authors
+	Vector fields and differential forms on the orbit space of a proper action	2021	Larry Bates Richard Cushman Jędrzej Śniatycki
+ PDF Chat	Correction: Bates et al. Vector Fields and Differential Forms on the Orbit Space of a Proper Action. Axioms 2021, 10, 118	2021	Larry Bates Richard Cushman Jędrzej Śniatycki
+ PDF Chat	Vector Fields and Differential Forms on the Orbit Space of a Proper Action	2021	Larry Bates Richard Cushman Jędrzej Śniatycki
+	Two Action-Angle Surprises on the Sphere	2021	Larry Bates Richard Cushman
+	Vector fields and differential forms on the orbit space of a proper action	2021	Larry Bates Richard Cushman Jędrzej Śniatycki
+ PDF Chat	Elastica as a dynamical system	2016	Larry Bates Robin Chhabra Jędrzej Śniatycki
+	A geometry where everything is better than nice	2016	Larry Bates Peter C. Gibson
+	A geometry where everything is better than nice	2016	Larry Bates Peter C. Gibson
+	A geometry where everything is better than nice	2016	Larry Bates Peter Gibson
+ PDF Chat	Not-quite-Hamiltonian Reduction	2015	Larry Bates Jędrzej Śniatycki
+ PDF Chat	Global Aspects of Classical Integrable Systems	2015	Richard Cushman Larry Bates
+	Geodesics on S 3	2015	Richard Cushman Larry Bates
+ PDF Chat	Polite Actions of Non-compact Lie Groups	2015	Larry Bates Jędrzej Śniatycki
+	Basic Morse Theory	2015	Richard Cushman Larry Bates
+	An exotic symplectic $\mathbf{R}^6$	2015	Larry Bates O. Michael Melko
+	Ehresmann connections	2015	Richard Cushman Larry Bates
+	The Euler Top	2015	Richard Cushman Larry Bates
+	Systems with Symmetry	2015	Richard Cushman Larry Bates
+ PDF Chat	The Hamilton-Jacobi equation, integrability, and nonholonomic systems	2014	Larry Bates Francesco Fassò Nicola Sansonetto
+ PDF Chat	An extension of the Dirac theory of constraints	2013	Larry Bates Jędrzej Śniatycki
+ PDF Chat	On curves of constant torsion I	2013	Larry Bates O. Michael Melko
+	An extension of the Dirac theory of constraints	2013	Larry Bates Jędrzej Śniatycki
+	Polite actions of non-compact Lie groups	2013	Larry Bates Jędrzej Śniatycki
+	An extension of the Dirac theory of constraints	2013	Larry Bates Jędrzej Śniatycki
+	Applications of the odd symplectic group in Hamiltonian systems	2010	Richard Cushman Larry Bates
+	Decomposition of the Quantization Representation of an SU(2) Action	2008	Larry Bates Richard Cushman Mark Hamilton Jędrzej Śniatycki Piotr Kielanowski Anatol Odzijewicz Martin Schlichenmaier Theodore Voronov
+	Scattering monodromy and the A 1 singularity	2007	Larry Bates Richard Cushman
+ PDF Chat	A smooth invariant not a smooth function of the invariant polynomials	2007	Larry Bates
+	Complete integrability beyond Liouville-Arnol'd	2005	Larry Bates Richard Cushman
+ PDF Chat	A symmetry completeness criterion for second-order differential equations	2003	Larry Bates
+	Problems and progress in nonholonomic reduction	2002	Larry Bates
+	A weak counterexample to the Carathéodory conjecture	2001	Larry Bates
+	What is a completely integrable nonholonomic dynamical system?	1999	Larry Bates Richard Cushman
+	Examples of singular nonholonomic reduction	1998	Larry Bates
+	You can't get there from here	1998	Larry Bates
+ PDF Chat	Yang-Mills and Dirac fields in a bag, constraints and reduction	1996	Jędrzej Śniatycki Günter Schwarz Larry Bates
+	Nonholonomic reduction	1993	Larry Bates Jędrzej Śniatycki
+ PDF Chat	On the Period-Energy Relation	1992	Larry Bates Jędrzej Śniatycki
+ PDF Chat	On the period-energy relation	1992	Larry Bates Jędrzej Śniatycki
+	Monodromy in the champagne bottle	1991	Larry Bates
+	A symplectic rigidity theorem	1990	Larry Bates
+ PDF Chat	A remarkable symplectic structure	1990	Larry Bates Georg Peschke
+	An extension of lagrange multipliers	1990	Larry Bates
+	Geometric quantization of a perturbed Kepler problem	1989	Larry Bates
+ PDF Chat	Closed geodesics on the space of stable two-monopoles	1988	Larry Bates Richard Montgomery
+	Examples for obstructions to action-angle coordinates	1988	Larry Bates

Common Coauthors

Coauthor	Papers Together
Richard Cushman	16
Jędrzej Śniatycki	16
Peter C. Gibson	2
O. Michael Melko	2
Anatol Odzijewicz	1
Theodore Voronov	1
Martin Schlichenmaier	1
Nicola Sansonetto	1
Piotr Kielanowski	1
Peter Gibson	1
Mark Hamilton	1
Robin Chhabra	1
Georg Peschke	1
Richard Montgomery	1
Francesco Fassò	1
Günter Schwarz	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Global Aspects of Classical Integrable Systems	2015	Richard Cushman Larry Bates	9
+	Differential Geometry of Singular Spaces and Reduction of Symmetry	2013	Jędrzej Śniatycki	6
+	Nonholonomic reduction	1993	Larry Bates Jędrzej Śniatycki	5
+	Smooth functions invariant under the action of a compact lie group	1975	Gerald W. Schwarz	4
+	Stratified Symplectic Spaces and Reduction	1991	Reyer Sjamaar Eugene Lerman	4
+	Examples of singular nonholonomic reduction	1998	Larry Bates	4
+ PDF Chat	Reduction of symplectic manifolds with symmetry	1974	Jerrold E. Marsden Alan Weinstein	4
+ PDF Chat	Generalized Hamiltonian Dynamics	1950	P. A. M. Dirac	4
+	Symmetries and Integrals in Mechanics††This research was supported by ONR contract number N00014-67-A-0113-0019.	1973	Kenneth R. Meyer	3
+	Presymplectic manifolds and the Dirac–Bergmann theory of constraints	1978	Mark J. Gotay James M. Nester George Libby Hinds	3
+	HAMILTONIAN METHODS AND QUANTUM MECHANICS	1964	P A M Dirac	3
+	A remark on integrable Hamiltonian systems	1988	H. Flaschka	3
+ PDF Chat	Proper group actions and symplectic stratified spaces	1997	L. Bates Eugene Lerman	3
+	On the Existence of Slices for Actions of Non-Compact Lie Groups	1961	Richard S. Palais	3
+	A Universal Reduction Procedure for Hamiltonian Group Actions	1991	Judith M. Arms Richard Cushman Mark J. Gotay	2
+	Leçons sur les invariants intégraux	1922	Élie Cartan	2
+	Conjugacy classes in linear groups	1977	N. Burgoyne Richard Cushman	2
+	On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane Into the Plane	1992	Hassler Whitney	2
+ PDF Chat	The de Rham cohomology of subcartesian spaces	1975	Charles D. Marshall	2
+	Presymplectic lagrangian systems. II : the second-order equation problem	1980	Mark J. Gotay James M. Nester	2
+ PDF Chat	The Combinatorics of Scattering in Layered Media	2014	Peter C. Gibson	2
+	Lifting Smooth Homotopies of Orbit Spaces of Proper Lie Group Actions	2005	Marja Kankaanrinta	2
+	Adjoint orbits of the odd real symplectic group	2007	Richard Cushman	2
+ PDF Chat	On the Hamiltonian formulation of nonholonomic mechanical systems	1994	Arjan van der Schaft Bernhard Maschke	2
+	Differentiable spaces that are subcartesian	2020	Richard Cushman Jędrzej Śniatycki	2
+	Lagrangian Submanifolds and Hamiltonian Systems	1973	Alan Weinstein	2
+ PDF Chat	The local structure of Poisson manifolds	1983	Alan Weinstein	2
+ PDF Chat	Global properties of integrable Hamiltonian systems	2008	Olga Lukina Floris Takens Henk Broer	2
+	Regularization of kepler's problem and the averaging method on a manifold	1970	John W. Moser	2
+	Introduction to differential geometry	1970	Abraham Goetz	2
+	Pseudo holomorphic curves in symplectic manifolds	1985	M. Gromov	2
+ PDF Chat	Lifting smooth homotopies of orbit spaces	1980	Gerald W. Schwarz	2
+	Mechanical systems with nonlinear constraints	1997	Manuel de León Juan Carlos Marrero David Martı́n de Diego	2
+ PDF Chat	A de Rham theorem for symplectic quotients	2005	Reyer Sjamaar	2
+ PDF Chat	Reduction of constrained mechanical systems and stability of relative equilibria	1995	Charles-Michel Marle	2
+	On Isolated Singularities of Complete Intersections	1985	Alexandru Dimca	1
+ PDF Chat	Nahm's equations and the classification of monopoles	1984	Simon Donaldson	1
+	On the number of singularities, zero curvature points and vertices of a simple convex space curve	1995	M. C. Romero Fuster V. D. Sedykh	1
+	Complete noncommutative integration of Hamiltonian systems	1998	Yoshiyuki Kinjo Yashushi Miyagi 義行金城	1
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	1
+ PDF Chat	Orbits of families of vector fields on subcartesian spaces	2003	Jędrzej Śniatycki	1
+ PDF Chat	Differential Geometry of Curves and Surfaces	1952	H. T. H. Piaggio	1
+	Stable mappings and their singularities	1973	Martin Golubitsky Victor Guillemin	1
+	Geometric Quantization of Algebraic Reduction	2006	Jędrzej Śniatycki	1
+	On G. Bol's proof of Carathéodory's conjecture	1959	Tilla Klotz	1
+ PDF Chat	Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits	1966	Vladimir I. Arnold	1
+	Perturbations of the spherical pendulum and Abelian integrals.	1990	Emil Horozov	1
+ PDF Chat	A remarkable symplectic structure	1990	Larry Bates Georg Peschke	1
+	Left-invariant Lorentz metrics on Lie groups	1979	Katsumi Nomizu	1
+	Transformation Groups in Differential Geometry	1972	Shôshichi Kobayashi	1