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Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications

By (author) Bayram Sahin
Format: Hardback
Publisher: Elsevier Science Publishing Co Inc, San Diego, United States
Imprint: Academic Press Inc
Published: 25th Jan 2017
Dimensions: w 191mm h 234mm d 23mm
Weight: 930g
ISBN-10: 0128043911
ISBN-13: 9780128043912
Barcode No: 9780128043912
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Synopsis
Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel submersions, Hermitian manifolds, and K\{a}hlerian manifolds. Riemannian submersions have long been an effective tool to obtain new manifolds and compare certain manifolds within differential geometry. For complex cases, only holomorphic submersions function appropriately, as discussed at length in Falcitelli, Ianus and Pastore's classic 2004 book. In this new book, Bayram Sahin extends the scope of complex cases with wholly new submersion types, including Anti-invariant submersions, Semi-invariant submersions, slant submersions, and Pointwise slant submersions, also extending their use in Riemannian maps. The work obtains new properties of the domain and target manifolds and investigates the harmonicity and geodesicity conditions for such maps. It also relates these maps with discoveries in pseudo-harmonic maps. Results included in this volume should stimulate future research on Riemannian submersions and Riemannian maps.

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"This remarkable book is suitable for autostudy. It is a very nicely written book with important applications," --Zentralblatt MATH 1378