Tensors and Riemannian Geometry: With Applications to Differential Equations, Nail H. Ibragimov

Автор: Chen Bang-Yen
Название: Pseudo-Riemannian Geometry, Delta-Invariants And Applications
ISBN: 9814329630 ISBN-13(EAN): 9789814329637
Издательство: World Scientific Publishing
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Описание: Provides an introduction to the subject in the general setting of pseudo-Riemannian manifolds and their non-degenerate submanifolds, only assuming from the reader some basic knowledge about manifold theory. In this book, a number of results on pseudo-Riemannian submanifolds are also included.

Автор: Sahin, Bayram
Название: Riemannian Submersions, Riemannian Maps in Hermitian Geometry, an
ISBN: 0128043911 ISBN-13(EAN): 9780128043912
Издательство: Elsevier Science
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Описание: 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.