[PDF] Holomorphic Mappings Between Hermitian Symmetric Spaces eBook

Author : Zhenhan Tu
Publisher :
Page : pages
File Size : 39,90 MB
Release : 2017-01-27
Category :
ISBN : 9781374691223

GET BOOK

This dissertation, "Rigidity of Proper Holomorphic Mappings Between Bounded Symmetric Domains" by 涂振漢, Zhenhan, Tu, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b4257564 Subjects: Symmetric spaces, Hermitian Holomorphic mappings Lie groups

Author : Ngaiming Mok
Publisher : World Scientific
Page : 296 pages
File Size : 24,75 MB
Release : 1989
Category : Mathematics
ISBN : 9789971508029

GET BOOK

This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact types in terms of curvature conditions. The proofs of these metric rigidity theorems are applied to the study of holomorphic mappings between manifolds X of the same type. Moreover, a dual version of the generalized Frankel Conjecture on characterizing compact K„hler manifolds are also formulated.

Author : Francis E. Burstall
Publisher : Springer
Page : 120 pages
File Size : 15,17 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540470522

GET BOOK

In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. Applications of this theory include a complete classification of stable harmonic 2-spheres in Riemannian symmetric spaces and a Bäcklund transform for harmonic 2-spheres in Lie groups which, in many cases, provides a factorisation theorem for such spheres as well as gap phenomena. The main methods used are those of homogeneous geometry and Lie theory together with some algebraic geometry of Riemann surfaces. The work addresses differential geometers, especially those with interests in minimal surfaces and homogeneous manifolds.

Author : Ngaiming Mok
Publisher : World Scientific
Page : 296 pages
File Size : 49,77 MB
Release : 1989
Category : Mathematics
ISBN : 9789971508005

GET BOOK

This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact types in terms of curvature conditions. The proofs of these metric rigidity theorems are applied to the study of holomorphic mappings between manifolds X of the same type. Moreover, a dual version of the generalized Frankel Conjecture on characterizing compact K„hler manifolds are also formulated.

Author : Jürgen Berndt
Publisher : Walter de Gruyter GmbH & Co KG
Page : 249 pages
File Size : 28,98 MB
Release : 2022-03-21
Category : Mathematics
ISBN : 311068991X

GET BOOK

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, focusing on results obtained by Jürgen Berndt and Young Jin Suh in the last 20 years.

Author : Jürgen Berndt
Publisher : Walter de Gruyter GmbH & Co KG
Page : 388 pages
File Size : 48,52 MB
Release : 2022-04-04
Category : Mathematics
ISBN : 3110689839

GET BOOK

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 classification results for real hypersurfaces in these spaces, focusing on results obtained by Jürgen Berndt and Young Jin Suh in the last 20 years.

Author : Bruce Hunt
Publisher : Springer Nature
Page : 622 pages
File Size : 36,57 MB
Release : 2021-09-04
Category : Mathematics
ISBN : 3030698041

GET BOOK

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology. Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry. Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.