hermitian-symmetric inequalitieshermitian operatorsselfadjoint operatorsGrunsky inequalitybilinear formWe establish several conditions which are equivalent to $$|[Bx,x]| leq langle Ax, x rangle,quad forall x in {{mathcal{H}}}$$ , where A is a nonnegative operator and B is a complex symmetric...
Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kähler geometry and Lie theory. This work gives an introduction to Hermitian symmetric spaces and their submanifolds, and presents classifi cation results for real hypersurfaces in these spaces, focu...
1. The goal of this paper is to describe Hermitian symmetric spaces. 本文的主要目的是描述Hermitian对称空间。2) symmetric space 对称空间 1. A fixed point theory for multiple valued maps in symmetric space; 对称空间中集值映象的不动点定理(英文) 2. Common fixed points for selfmaps without ...
We discuss the recent developments in the generalized continuous Heisenberg ferromagnet model formulated as a nonrelativistic field theory defined on the target space of the coadjoint orbits. Hermitian symmetric spaces are special because they provide co
R. L. Bryant, Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces, Princeton University Press, AM-153, 2005.R.L. Bryant, Rigidity and quasi-rigidity of extremal cycles in Hermi- tian symmetric spaces, Annals of Mathematics Studies, 153, Princeton University Press, 2010...
We show that an inner symmetric space with a compatible Hermitian structure is necessarily Hermitian symmetric, and the Hermitian structure must be invariant. This last result was known for some of the spaces of classical type and was conjectured to be true for all compact Hermitian symmetric spac...
We prove that equivariant, holomorphic embeddings of Hermitian symmetric spaces are totally geodesic (when the image is not of exceptional type).doi:10.1007/s12044-007-0027-8L. ClozelSpringer-VerlagProceedings of the Indian Academy of Sciences - Section A Part 3 Mathematical sciences...
Conversely every simply connected simple irreducible pseudo-hermitian symmetric space of K ε -type is obtained in this manner. Furthermore, if the restricted root system of g is of type C r , then we have the isomorphism M k M r-k (0≤k≤(r/2)) as pseudo-hermitian symmetric spaces....
Tight homomorphisms between Lie groups of Hermitian type give rise to tight totally geodesic maps of Hermitian symmetric spaces. We show that tight maps behave in a functorial way with respect to the Shilov boundary and use this to prove a general structure theorem for tight homomorphisms. ...
定价:$ 28.19 ISBN:9780691096346 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 内容简介· ··· This work investigates the geometry of complex subvarieties of compact Hermitian symmetric spaces, particularly the complex Grassmannians, which are central to Schubert calculus and its ap...