Real Hypersurfaces in Hermitian Symmetric Spaces

Real Hypersurfaces in Hermitian Symmetric Spaces
Title Real Hypersurfaces in Hermitian Symmetric Spaces PDF eBook
Author Jürgen Berndt
Publisher Walter de Gruyter GmbH & Co KG
Total Pages 249
Release 2022-03-21
Genre 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.

Real Hypersurfaces in Hermitian Symmetric Spaces

Real Hypersurfaces in Hermitian Symmetric Spaces
Title Real Hypersurfaces in Hermitian Symmetric Spaces PDF eBook
Author Jürgen Berndt
Publisher Walter de Gruyter GmbH & Co KG
Total Pages 388
Release 2022-04-04
Genre Mathematics
ISBN 3110689839

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

Hermitian–Grassmannian Submanifolds

Hermitian–Grassmannian Submanifolds
Title Hermitian–Grassmannian Submanifolds PDF eBook
Author Young Jin Suh
Publisher Springer
Total Pages 360
Release 2017-09-14
Genre Mathematics
ISBN 9811055564

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This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016. The Workshop was supported by the Research Institute of Real and Complex Manifolds (RIRCM) and the National Research Foundation of Korea (NRF). The Organizing Committee invited 30 active geometers of differential geometry and related fields from all around the globe to discuss new developments for research in the area. These proceedings provide a detailed overview of recent topics in the field of real and complex submanifolds.

Exceptional Lie Algebras and the Structure of Hermitian Symmetric Spaces

Exceptional Lie Algebras and the Structure of Hermitian Symmetric Spaces
Title Exceptional Lie Algebras and the Structure of Hermitian Symmetric Spaces PDF eBook
Author Daniel Drucker
Publisher American Mathematical Soc.
Total Pages 220
Release 1978
Genre Mathematics
ISBN 9780821822081

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This monograph explicitly determines the "orbit structure" of all irreducible hermitian symmetric (IHS) spaces in a unified way by means of Lie algebra calculations, using J. Tits' models of the Lie algebras [script]e6 and [script]e7 in the two "exceptional" cases. An introduction to the theory of hermitian symmetric spaces is included, along with an elementary exposition of the facts from nonassociative algebra needed to understand and use Tits' constructions of all the complex exceptional simple Lie algebras and their real forms

Geometric Science of Information

Geometric Science of Information
Title Geometric Science of Information PDF eBook
Author Frank Nielsen
Publisher Springer
Total Pages 863
Release 2013-08-19
Genre Computers
ISBN 3642400205

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This book constitutes the refereed proceedings of the First International Conference on Geometric Science of Information, GSI 2013, held in Paris, France, in August 2013. The nearly 100 papers presented were carefully reviewed and selected from numerous submissions and are organized into the following thematic sessions: Geometric Statistics on Manifolds and Lie Groups, Deformations in Shape Spaces, Differential Geometry in Signal Processing, Relational Metric, Discrete Metric Spaces, Computational Information Geometry, Hessian Information Geometry I and II, Computational Aspects of Information Geometry in Statistics, Optimization on Matrix Manifolds, Optimal Transport Theory, Probability on Manifolds, Divergence Geometry and Ancillarity, Entropic Geometry, Tensor-Valued Mathematical Morphology, Machine/Manifold/Topology Learning, Geometry of Audio Processing, Geometry of Inverse Problems, Algebraic/Infinite dimensional/Banach Information Manifolds, Information Geometry Manifolds, and Algorithms on Manifolds.

Symmetric Spaces; Short Courses Presented at Washington University

Symmetric Spaces; Short Courses Presented at Washington University
Title Symmetric Spaces; Short Courses Presented at Washington University PDF eBook
Author William Munger Boothby
Publisher
Total Pages 512
Release 1972
Genre Mathematics
ISBN

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Nonassociative Algebras And Related Topics - Proceedings Of The International Symposium

Nonassociative Algebras And Related Topics - Proceedings Of The International Symposium
Title Nonassociative Algebras And Related Topics - Proceedings Of The International Symposium PDF eBook
Author K Yamaguti
Publisher World Scientific
Total Pages 382
Release 1991-11-29
Genre
ISBN 9814556203

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The rapid progress in genomics and related technologies has increased interest in genetically modified organisms (GMOs). This concise and highly readable book equips the reader with essential information about what genes are, how they work, and how they can be modified and used in biotechnology. The book starts with a summary of the beginnings of life, the structure and components of living organisms, and an outline of genetic engineering.The coverage of human genetics spans race, human evolution and migration, the sex chromosomes, gene therapy, and forensic science. A separate chapter is devoted to the genetics and evolution of some of the major disease-causing organisms. On environmental genetics, the book considers the risks of releasing agricultural GM plants, as well as bioremediation and metal extraction by GM plants. Applications of genetic modification in agriculture — pest-resistant plants, herbicide resistance, and improved foods — are presented as part of a discussion on sustainable agriculture to emphasize the role played by GM plants in relation to chemicals, analytic techniques, and organic farming.