Semi-invariant Riemannian maps from almost Hermitian manifolds

Küçük Resim Yok

Tarih

2012

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We construct Gauss-Weingarten-like formulas and define O'Neill's tensors for Riemannian maps between Riemannian manifolds. By using these new formulas, we obtain necessary and sufficient conditions for Riemannian maps to be totally geodesic. Then we introduce semi-invariant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, give examples and investigate the geometry of leaves of the distributions defined by such maps. We also obtain necessary and sufficient conditions for semi-invariant maps to be totally geodesic and find decomposition theorems for the total manifold. Finally, we give a classification result for semi-invariant Riemannian maps with totally umbilical fibers. (C) 2011 Royal Netherlands Academy of Arts and Sciences. Published by Elsevier B.V. All rights reserved.

Açıklama

Anahtar Kelimeler

Kahler manifold, Riemannian maps, Anti-invariant Riemannian submersion, Semi-invariant submersion, Semi-invariant Riemannian map, Harmonic map

Kaynak

Indagationes Mathematicae-New Series

WoS Q Değeri

Q4

Scopus Q Değeri

Q2

Cilt

23

Sayı

1-2

Künye