Scalar curvature of Lagrangian Riemannian submersions and their harmonicity
Küçük Resim Yok
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we consider a Lagrangian Riemannian submersion from a Hermitian manifold to a Riemannian manifold and establish some basic inequalities to obtain relationships between the intrinsic and extrinsic invariants for such a submersion. Indeed, using these inequalities, we provide necessary and sufficient conditions for which a Lagrangian Riemannian submersion pi has totally geodesic or totally umbilical fibers. Moreover, we study the harmonicity of Lagrangian Riemannian submersions and obtain a characterization for such submersions to be harmonic.
Açıklama
Anahtar Kelimeler
Curvature, Hermitian manifold, Riemannian submersion
Kaynak
International Journal of Geometric Methods in Modern Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
14
Sayı
12
