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Real Hypersurfaces in Hermitian Symmetric Spaces

Real Hypersurfaces in Hermitian Symmetric Spaces
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
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
Author: Young Jin Suh
Publisher: Springer
Total Pages: 356
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.


Geometric Science of Information

Geometric Science of Information
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.


Nonassociative Algebras And Related Topics - Proceedings Of The International Symposium

Nonassociative Algebras And Related Topics - Proceedings Of The International Symposium
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.


Moduli of Curves and Abelian Varieties

Moduli of Curves and Abelian Varieties
Author: Carel Faber
Publisher: Springer Science & Business Media
Total Pages: 205
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3322901726

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The Dutch Intercity Seminar on Moduli, which dates back to the early eighties, was an initiative of G. van der Geer, F. Oort and C. Peters. Through the years it became a focal point of Dutch mathematics and it gained some fame, also outside Holland, as an active biweekly research seminar. The tradition continues up to today. The present volume, with contributions of R. Dijkgraaf, C. Faber, G. van der Geer, R. Hain, E. Looijenga, and F. Oort, originates from the seminar held in 1995--96. Some of the articles here were discussed, in preliminary form, in the seminar; others are completely new. Two introductory papers, on moduli of abelian varieties and on moduli of curves, accompany the articles.


Topics In Contemporary Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields

Topics In Contemporary Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields
Author: Kouei Sekigawa
Publisher: World Scientific
Total Pages: 350
Release: 2007-06-11
Genre: Mathematics
ISBN: 9814475025

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This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas.Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.


Submanifolds and Holonomy

Submanifolds and Holonomy
Author: Jurgen Berndt
Publisher: CRC Press
Total Pages: 494
Release: 2016-02-22
Genre: Mathematics
ISBN: 1482245167

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Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom