Applications of Holomorphic Functions in Geometry

This book expounds on the recent developments in applications of holomorphic functions in the theory of hypercomplex and anti-Hermitian manifolds as well as in the geometry of bundles. It provides detailed information about holomorphic functions in algebras and discusses some of the areas in geometr...

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Bibliographic Details
Main Author: Salimov, Arif
Format: eBook
Language:English
Published: Singapore Birkhäuser 2023, 2023
Edition:1st ed. 2023
Series:Frontiers in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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505 0 |a Preface -- Holomorphic Manifolds over Algebra -- Anti-Hermitian Geometry -- Problems of Lifts -- References -- Index 
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653 |a Global Analysis and Analysis on Manifolds 
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520 |a This book expounds on the recent developments in applications of holomorphic functions in the theory of hypercomplex and anti-Hermitian manifolds as well as in the geometry of bundles. It provides detailed information about holomorphic functions in algebras and discusses some of the areas in geometry with applications. The book proves the existence of a one-to-one correspondence between hyper-complex anti-Kähler manifolds and anti-Hermitian manifolds with holomorphic metrics, and also a deformed lifting to bundles. Researchers and students of geometry, algebra, topology and physics may find the book useful as a self-study guide.