TY  - GEN
AU  - Sahin,Bayram
TI  - Riemannian submersions Riemannian maps in Hermitian geometry and their applications
SN  - 9780128043912
U1  - 516.362 23rd
PY  - 2017///
CY  - UK
PB  - Academic Press
KW  - Mathematics
KW  - Geometry
KW  - Riemannian Manifolds
KW  - Riemannian Maps
KW  - Hermitian Geometry
N1  - Includes bibliography and index; Basic geometric structures on manifolds -- Applications of Riemannian submersions -- Riemannian submersions from almost Hermitian manifolds -- Riemannian maps -- Riemannian maps from almost Hermitian manifolds -- Riemannian maps to almost Hermitian manifolds
N2  - 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
ER  -