1.

Record Nr.

UNINA9910720074503321

Autore

Salimov Arif <1956->

Titolo

Applications of Holomorphic Functions in Geometry / / by Arif Salimov

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Birkhäuser, , 2023

ISBN

9789819912964

9789819912957

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (123 pages)

Collana

Frontiers in Mathematics, , 1660-8054

Disciplina

516.36

Soggetti

Geometry

Global analysis (Mathematics)

Manifolds (Mathematics)

Global Analysis and Analysis on Manifolds

Funcions holomorfes

Geometria diferencial

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Preface -- Holomorphic Manifolds over Algebra -- Anti-Hermitian Geometry -- Problems of Lifts -- References -- Index.

Sommario/riassunto

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. .