Add to ORKGIn this thesis we study the existence of an infinite-dimensional analog of maximal torus in the symplectomorphism groups of toric manifolds. We also prove an infinite-dimensional version of Schur-Horn-Kostant convexity theorem. These results are extensions of the results of Bao-Raiu, Elhadrami, Bloch-Flachka-Ratiu and Bloch-El Hadrami-Flaschka-Raiu
Convex cocompact subgroups of rank-one semisimple Lie groups such as PSL(2,R) form a structurally st...
Habilitation thesisHabilitationsschriftInfinite-dimensional manifolds and Lie groups arise from prob...
We show that if a diffeomorphism of a symplectic manifold $(M^{2n},\omega)$ preserves the form $\ome...
In this dissertation, we identify a subgroup Tˢ of Dˢ(μ), the group of Sobolev symplectomorphisms of...
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.Includes bibliograp...
This is a monograph on convexity properties of moment mappings in symplectic geometry. The fundament...
AbstractIn this paper we generalize the linear Kostant Convexity Theorem to Lie algebras of bounded ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.Cataloged from PD...
In the early 1980s a landmark result was obtained by Atiyah and independently Guillemin and Sternber...
AbstractLet T be the collection of all Hs(s > 2) diffeomorphisms ηφ of the cylindrical surface M ≔ S...
AbstractIn this paper we will survey the various forms of convexity in symplectic geometry, paying p...
In this article we study convexity properties of distance functions in infinite dimensional Finsler ...
This monograph could be used for a graduate course on symplectic geometry as well as for independent...
The notions of convex cocompactness and geometric finiteness originally come from the study of Klein...
We prove a convexity theorem for the image of the moment map of a Hamiltonian torus action on a bm-s...
Convex cocompact subgroups of rank-one semisimple Lie groups such as PSL(2,R) form a structurally st...
Habilitation thesisHabilitationsschriftInfinite-dimensional manifolds and Lie groups arise from prob...
We show that if a diffeomorphism of a symplectic manifold $(M^{2n},\omega)$ preserves the form $\ome...
In this dissertation, we identify a subgroup Tˢ of Dˢ(μ), the group of Sobolev symplectomorphisms of...
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.Includes bibliograp...
This is a monograph on convexity properties of moment mappings in symplectic geometry. The fundament...
AbstractIn this paper we generalize the linear Kostant Convexity Theorem to Lie algebras of bounded ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.Cataloged from PD...
In the early 1980s a landmark result was obtained by Atiyah and independently Guillemin and Sternber...
AbstractLet T be the collection of all Hs(s > 2) diffeomorphisms ηφ of the cylindrical surface M ≔ S...
AbstractIn this paper we will survey the various forms of convexity in symplectic geometry, paying p...
In this article we study convexity properties of distance functions in infinite dimensional Finsler ...
This monograph could be used for a graduate course on symplectic geometry as well as for independent...
The notions of convex cocompactness and geometric finiteness originally come from the study of Klein...
We prove a convexity theorem for the image of the moment map of a Hamiltonian torus action on a bm-s...
Convex cocompact subgroups of rank-one semisimple Lie groups such as PSL(2,R) form a structurally st...
Habilitation thesisHabilitationsschriftInfinite-dimensional manifolds and Lie groups arise from prob...
We show that if a diffeomorphism of a symplectic manifold $(M^{2n},\omega)$ preserves the form $\ome...