Semi-invariant Riemannian maps from almost Hermitian manifolds
Küçük Resim Yok
Tarih
2012
Yazarlar
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
