Product theorems on anti-invariant Riemannian submersions

被引：1
|
作者：
Ali S. [1 ]
Fatima T. [1 ,2 ]
机构：
[1] Department of Mathematics, Aligarh Muslim University, Aligarh
[2] Science College for Girls, Jazan University, Jazan
来源：
Afrika Matematika | 2015年 / 26卷 / 3-4期
关键词：
Anti-invariant Riemannian submersion; Langrangian Riemannian submersion; Totally geodesicness;
D O I：
10.1007/s13370-013-0219-6
中图分类号：
学科分类号：
摘要：
In Ali and Fatima (J Tensor Soc 6(2):163–175, 2012) we studied anti-invariant and Langrangian Riemannian submersions from nearly kaehler manifolds. In this paper we have continued the study of such submersion and investigate the geometry of the leaves of two distributions and obtain the necessary and sufficient conditions for a Langrangian Riemannian submersions to be totally geodesic map. In the end, the decomposition theorems for the total manifold of the submersion are obtained. © 2013, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
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页码：471 / 483
页数：12
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