Polar actions on symmetric spaces
نویسندگان
چکیده
منابع مشابه
Coisotropic and polar actions on compact irreducible Hermitian symmetric spaces
We obtain the full classification of coisotropic and polar isometric actions of compact Lie groups on irreducible Hermitian symmetric spaces.
متن کاملPolar Actions on Compact Irreducible Symmetric Spaces Are Taut
We prove that the orbits of a polar action of a compact Lie group on a compact irreducible symmetric space are tautly embedded with respect to Z2-coefficients.
متن کاملVisible actions on symmetric spaces
A visible action on a complex manifold is a holomorphic action that admits a J -transversal totally real submanifold S. It is said to be strongly visible if there exists an orbit-preserving anti-holomorphic diffeomorphism σ such that σ|S = id. In this paper, we prove that for any Hermitian symmetric space D = G/K the action of any symmetric subgroup H is strongly visible. The proof is carried o...
متن کاملPolar Decomposition for P-adic Symmetric Spaces
Let G be the group of k-points of a connected reductive k-group and H a symmetric subgroup associated to an involution σ of G. We prove a polar decomposition G = KAH for the symmetric space G/H over any local field k of characteristic not 2. Here K is a compact subset of G and A is a finite union of groups Ai which are the k-points of maximal (k, σ)-split tori, one for each H-conjugacy class. T...
متن کاملInterpolation on Symmetric Spaces Via the Generalized Polar Decomposition
We construct interpolation operators for functions taking values in a symmetric space—a smooth manifold with an inversion symmetry about every point. Key to our construction is the observation that every symmetric space can be realized as a homogeneous space whose cosets have canonical representatives by virtue of the generalized polar decomposition—a generalization of the well-known factorizat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2007
ISSN: 0022-040X
DOI: 10.4310/jdg/1193074901