Semi-invariant ξ⊥-Riemannian submersions from almost contact metric manifolds

被引：18
|
作者：
Akyol, Mehmet Akif [1 ]
Sari, Ramazan [2 ]
Aksoy, Elif [2 ]
机构：
[1] Bingol Univ, Fac Arts & Sci, Dept Math, TR-12000 Bingol, Turkey
[2] Amasya Univ, Merzifon Vocat Sch, TR-05300 Amasya, Turkey
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2017年 / 14卷 / 05期
关键词：
Sasakian manifold; Riemannian submersion; anti-invariant xi(perpendicular to)-Riemannian submersion; semi-invariant xi(perpendicular to)-Riemannian submersion; RIEMANNIAN SUBMERSIONS;
D O I：
10.1142/S0219887817500748
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
As a generalization of anti-invariant xi(perpendicular to)-Riemannian submersions, we introduce semiinvariant xi(perpendicular to)-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We give examples, investigating the geometry of foliations which arise from the definition of a Riemannian submersion and proving a necessary and sufficient condition for a semi-invariant xi(perpendicular to)-Riemannian submersion to be totally geodesic. Moreover, we study semi-invariant xi(perpendicular to)-Riemannian submersions with totally umbilical fibers.
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收藏
页数：17
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