A mountain pass theorem for actions of compact Lie groups.
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Displaying 1 – 18 of 18
A New Approach to the Rigidity of Discrete Group Actions.
M. Kanai (1996)
Geometric and functional analysis
A new Lagrangian dynamic reduction in field theory
François Gay-Balmaz, Tudor S. Ratiu (2010)
Annales de l’institut Fourier
For symmetric classical field theories on principal bundles there are two methods of symmetry reduction: covariant and dynamic. Assume that the classical field theory is given by a symmetric covariant Lagrangian density defined on the first jet bundle of a principal bundle. It is shown that covariant and dynamic reduction lead to equivalent equations of motion. This is achieved by constructing a new Lagrangian defined on an infinite dimensional space which turns out to be gauge group invariant.
Connections on infinite dimensional manifolds with corners
J. Margalef-Roig, E. Outerelo-Domínguez, E. Padrón-Fernández (1997)
Rendiconti del Seminario Matematico della Università di Padova
Critical point theory with symmetries.
Dieter Puppe, Mónica Clapp (1991)
Journal für die reine und angewandte Mathematik
Division property of the momentum map.
K, Fazeela, Subramanian Moosath, K.S. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Estimates for critical groups of solutions to quasilinear elliptic systems.
Carmona, José, Cingolani, Silvia, Vannella, Giuseppina (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Estudio de las variedades de contacto compactas que admiten una acción foliante.
Rafael María Rubio Ruiz (2003)
Extracta Mathematicae
Harmonic maps into singular spaces and -adic superrigidity for lattices in groups of rank one
Michael Gromov, Richard Schoen (1992)
Publications Mathématiques de l'IHÉS
Integrable systems and group actions
Eva Miranda (2014)
Open Mathematics
The main purpose of this paper is to present in a unified approach to different results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems in these manifolds will be explored from this perspective.
Perturbation theorems on Morse theory for continuous functions.
Cicortaş, Graţiela (2005)
Balkan Journal of Geometry and its Applications (BJGA)
Right closing almost conjugacy for G-shifts of finite type
Andrew Dykstra (2006)
Colloquium Mathematicae
A G-shift of finite type (G-SFT) is a shift of finite type which commutes with the continuous action of a finite group G. For irreducible G-SFTs we classify right closing almost conjugacy, answering a question of Bill Parry.
Rigidity of Furstenberg entropy for semisimple Lie group actions
Amos Nevo, Robert J. Zimmer (2000)
Annales scientifiques de l'École Normale Supérieure
Rigidity of group actions
Masahiko Kanai (1996/1997)
Séminaire de théorie spectrale et géométrie
Symmetry groups and Lagrangians associated with Tzitzeica surfaces.
Bîlă, Nicoleta (2005)
Balkan Journal of Geometry and its Applications (BJGA)
The Tzitzeica surface as solution of PDE systems.
Balan, Vladimir, Vîlcea, Ştefania-Alina (2005)
Balkan Journal of Geometry and its Applications (BJGA)
Theory of coverings in the study of Riemann surfaces
Ewa Tyszkowska (2012)
Colloquium Mathematicae
For a G-covering Y → Y/G = X induced by a properly discontinuous action of a group G on a topological space Y, there is a natural action of π(X,x) on the set F of points in Y with nontrivial stabilizers in G. We study the covering of X obtained from the universal covering of X and the left action of π(X,x) on F. We find a formula for the number of fixed points of an element g ∈ G which is a generalization of Macbeath's formula applied to an automorphism of a Riemann surface. We give a new method...
Tzitzeica theory -- opportunity for reflection in mathematics.
Udrişte, Constantin (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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