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Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
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Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications (Hardcover)
Loot Price: R1,858
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Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications (Hardcover)
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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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