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Real Hypersurfaces in Hermitian Symmetric Spaces

Author : Jürgen Berndt
Publisher : Walter de Gruyter GmbH & Co KG
Page : 249 pages
File Size : 48,8 MB
Release : 2022-03-21
Category : Mathematics
ISBN : 311068991X

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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.

Spectral Analysis in Geometry and Number Theory

Author : Motoko Kotani
Publisher : American Mathematical Soc.
Page : 363 pages
File Size : 20,47 MB
Release : 2009
Category : Mathematics
ISBN : 0821842692

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This volume is an outgrowth of an international conference in honor of Toshikazu Sunada on the occasion of his sixtieth birthday. The conference took place at Nagoya University, Japan, in 2007. Sunada's research covers a wide spectrum of spectral analysis, including interactions among geometry, number theory, dynamical systems, probability theory and mathematical physics. Readers will find papers on trace formulae, isospectral problems, zeta functions, quantum ergodicity, random waves, discrete geometric analysis, value distribution, and semiclassical analysis. This volume also contains an article that presents an overview of Sunada's work in mathematics up to the age of sixty.