Add to ORKGAbstract. A geometric proof of the Matsuki orbit duality for flag man-ifolds is established in [2] by analyzing the gradient flow of the norm-squared of a moment map. In the present paper, we investigate explicit formulas for integral curves associated with this flow, leading to a cor-respondence between certain integral curves and Cayley transforms. In addition, an exhaustive collection of curves is presented in the rank one hermitian symmetric case. 1
Le Jan and Watanabe showed that a non-degenerate stochastic flow f¸ t : t 0g on a manifold M deter...
We disclose an interesting connection between the gradient flow of a e(2)-smooth function psi and st...
Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbit...
We prove that the norm-square of a moment map associated to a linear action of a compact group on an...
Hamiltonian Mechanics is the study of dynamical systems on smooth manifolds which come equipped with...
Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbit...
Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbit...
In this paper we consider the geometry of Hamiltonian flows on the cotangent bundle of coadjoint orb...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
Given an embedding of a closed k-dimensional manifold M into N-dimensional Euclidean space R^N, we a...
Le Jan and Watanabe showed that a non-degenerate stochastic flow {xi(t) : t greater than or equal to...
ABSTRACT. The results of this paper concern the Morse theory of the norm-square of the moment map on...
Let X be a compact Kahler manifold with a given ample line bundle L. Donaldson proved an inequality ...
We disclose an interesting connection between the gradient flow of a e(2)-smooth function psi and st...
Le Jan and Watanabe showed that a non-degenerate stochastic flow f¸ t : t 0g on a manifold M deter...
We disclose an interesting connection between the gradient flow of a e(2)-smooth function psi and st...
Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbit...
We prove that the norm-square of a moment map associated to a linear action of a compact group on an...
Hamiltonian Mechanics is the study of dynamical systems on smooth manifolds which come equipped with...
Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbit...
Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbit...
In this paper we consider the geometry of Hamiltonian flows on the cotangent bundle of coadjoint orb...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
Given an embedding of a closed k-dimensional manifold M into N-dimensional Euclidean space R^N, we a...
Le Jan and Watanabe showed that a non-degenerate stochastic flow {xi(t) : t greater than or equal to...
ABSTRACT. The results of this paper concern the Morse theory of the norm-square of the moment map on...
Let X be a compact Kahler manifold with a given ample line bundle L. Donaldson proved an inequality ...
We disclose an interesting connection between the gradient flow of a e(2)-smooth function psi and st...
Le Jan and Watanabe showed that a non-degenerate stochastic flow f¸ t : t 0g on a manifold M deter...
We disclose an interesting connection between the gradient flow of a e(2)-smooth function psi and st...
Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbit...