The classification of real forms of simple irreducible pseudo-Hermitian symmetric spaces
نویسندگان
چکیده
منابع مشابه
Classification of infinite-dimensional irreducible Hermitian-symmetric affine coadjoint orbits
In the finite-dimensional setting, every Hermitian-symmetric space of compact type is a coadjoint orbit of a finite-dimensional Lie group. It is natural to ask whether every infinite-dimensional Hermitiansymmetric space of compact type, which is a particular example of an Hilbert manifold, is transitively acted upon by a Hilbert Lie group of isometries. In this paper we give the classification ...
متن کاملCoisotropic 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 کاملCharacterization of Hermitian Symmetric Spaces by Fundamental Forms
Theorem A (Landsberg) Let H be an irreducible compact Hermitian symmetric space of rank 2, different from the hyperquadric Qn ⊂ Pn+1. Let H ⊂ PN be a minimal non-degenerate equivariant embedding, equivalently, an embedding of H in PN defined by the complete linear system associated to the ample generator of Pic(H) ∼= Z. Let M ⊂ PN be a (not necessarily closed) complex sub-manifold with dim(M) =...
متن کاملPseudo Ricci symmetric real hypersurfaces of a complex projective space
Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملOn Pseudo-hermitian Einstein Spaces
We describe and construct here pseudo-Hermitian structures θ without torsion (i.e. with transversal symmetry) whose Webster-Ricci curvature tensor is a constant multiple of the exterior differential dθ. We call these structures pseudo-Hermitian Einstein and our result states that they all can be derived locally from Kähler-Einstein metrics. Moreover, we discuss the corresponding Fefferman metri...
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 the Mathematical Society of Japan
سال: 2014
ISSN: 0025-5645
DOI: 10.2969/jmsj/06610037