Principles of Locally Conformally K�hler Geometry - Couverture souple

Ornea, Liviu ; Verbitsky, Misha

9783031581229: Principles of Locally Conformally K�hler Geometry

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ISBN 10 : 3031581229 ISBN 13 : 9783031581229

Editeur : Birkhauser Verlag AG, 2025

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This monograph introduces readers to locally conformally K�hler (LCK) geometry and provides an extensive overview of the most current results. A rapidly developing area in complex geometry dealing with non-K�hler manifolds, LCK geometry has strong links to many other areas of mathematics, including algebraic geometry, topology, and complex analysis. The authors emphasize these connections to create a unified and rigorous treatment of the subject suitable for both students and researchers.

Part I builds the necessary foundations for those approaching LCK geometry for the first time with full, mostly self-contained proofs and also covers material often omitted from textbooks, such as contact and Sasakian geometry, orbifolds, Ehresmann connections, and foliation theory. More advanced topics are then treated in Part II, including non-K�hler elliptic surfaces, cohomology of holomorphic vector bundles on Hopf manifolds, Kuranishi and Teichm�ller spaces for LCK manifolds with potential, and harmonic forms on Sasakian and Vaisman manifolds. Each chapter in Parts I and II begins with motivation and historic context for the topics explored and includes numerous exercises for further exploration of important topics.

Part III surveys the current research on LCK geometry, describing advances on topics such as automorphism groups on LCK manifolds, twisted Hamiltonian actions and LCK reduction, Einstein-Weyl manifolds and the Futaki invariant, and LCK geometry on nilmanifolds and on solvmanifolds. New proofs of many results are given using the methods developed earlier in the text. The text then concludes with a chapter that gathers over 100 open problems, with context and remarks provided where possible, to inspire future research.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Birkhauser Verlag AG
Date d'�dition: 2025
Langue: anglais
ISBN 10: 3031581229
ISBN 13: 9783031581229
Reliure: Broch�
Nombre de pages: 757
Coordonn�es du fabricant: ProductSafety@springernature.com
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Principles of Locally Conformally K�hler Geometry

Misha Verbitsky

Edit� par Springer Nature Switzerland, Springer Nature Switzerland Mai 2025, 2025

ISBN 10 : 3031581229 ISBN 13 : 9783031581229

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 760 pp. Englisch. N� de r�f. du vendeur 9783031581229

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Principles of Locally Conformally K�hler Geometry

Liviu Ornea (u. a.)

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ISBN 10 : 3031581229 ISBN 13 : 9783031581229

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Principles of Locally Conformally K�hler Geometry

Liviu Ornea

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ISBN 10 : 3031581229 ISBN 13 : 9783031581229

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph introduces readers to locally conformally K�hler (LCK) geometry and provides an extensive overview of the most current results. A rapidly developing area in complex geometry dealing with non-K�hler manifolds, LCK geometry has strong links to many other areas of mathematics, including algebraic geometry, topology, and complex analysis. The authors emphasize these connections to create a unified and rigorous treatment of the subject suitable for both students and researchers.Part I builds the necessary foundations for those approaching LCK geometry for the first time with full, mostly self-contained proofs and also covers material often omitted from textbooks, such as contact and Sasakian geometry, orbifolds, Ehresmann connections, and foliation theory. More advanced topics are then treated in Part II, including non-K�hler elliptic surfaces, cohomology of holomorphic vector bundles on Hopf manifolds, Kuranishi and Teichm�ller spaces for LCK manifolds with potential, and harmonic forms on Sasakian and Vaisman manifolds. Each chapter in Parts I and II begins with motivation and historic context for the topics explored and includes numerous exercises for further exploration of important topics.Part III surveys the current research on LCK geometry, describing advances on topics such as automorphism groups on LCK manifolds, twisted Hamiltonian actions and LCK reduction, Einstein-Weyl manifolds and the Futaki invariant, and LCK geometry on nilmanifolds and on solvmanifolds. New proofs of many results are given using the methods developed earlier in the text. The text then concludes with a chapter that gathers over 100 open problems, with context and remarks provided where possible, to inspire future research.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 760 pp. Englisch. N� de r�f. du vendeur 9783031581229

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Principles of Locally Conformally K�hler Geometry

Liviu Ornea

Edit� par Springer, 2025

ISBN 10 : 3031581229 ISBN 13 : 9783031581229

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph introduces readers to locally conformally K�hler (LCK) geometry and provides an extensive overview of the most current results. A rapidly developing area in complex geometry dealing with non-K�hler manifolds, LCK geometry has strong links to many other areas of mathematics, including algebraic geometry, topology, and complex analysis. The authors emphasize these connections to create a unified and rigorous treatment of the subject suitable for both students and researchers.Part I builds the necessary foundations for those approaching LCK geometry for the first time with full, mostly self-contained proofs and also covers material often omitted from textbooks, such as contact and Sasakian geometry, orbifolds, Ehresmann connections, and foliation theory. More advanced topics are then treated in Part II, including non-K�hler elliptic surfaces, cohomology of holomorphic vector bundles on Hopf manifolds, Kuranishi and Teichm�ller spaces for LCK manifolds with potential, and harmonic forms on Sasakian and Vaisman manifolds. Each chapter in Parts I and II begins with motivation and historic context for the topics explored and includes numerous exercises for further exploration of important topics.Part III surveys the current research on LCK geometry, describing advances on topics such as automorphism groups on LCK manifolds, twisted Hamiltonian actions and LCK reduction, Einstein-Weyl manifolds and the Futaki invariant, and LCK geometry on nilmanifolds and on solvmanifolds. New proofs of many results are given using the methods developed earlier in the text. The text then concludes with a chapter that gathers over 100 open problems, with context and remarks provided where possible, to inspire future research. N� de r�f. du vendeur 9783031581229

Contacter le vendeur