SOME RESULTS ON ALMOST KENMOTSU MANIFOLDS WITH GENERALIZED (k, μ)′-NULLITY DISTRIBUTION

被引：0
|
作者：
De, Uday Chand [1 ]
Ghosh, Gopal [1 ]
机构：
[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kol 700019, W Bengal, India
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 34卷 / 04期
关键词：
almost Kenmotsu manifold; generalized nullity distribution; second order parallel tensor; Ricci soliton; generalized Ricci soliton; COVARIANT DERIVATIVES; SYMMETRIC TENSORS; RICCI SOLITONS; GRADIENT RICCI; 2ND-ORDER; CONTACT;
D O I：
10.4134/CKMS.c180389
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we prove that if there exists a second order parallel tensor on an almost Kenmotsu manifold with generalized (k, mu)'-nullity distribution and h' not equal 0, then either the manifold is isometric to Hn+1 (-4) x R-n, or, the second order parallel tensor is a constant multiple of the associated metric tensor of M2n+1 under certain restriction on k, mu. Besides this, we study Ricci soliton on an almost Kenmotsu manifold with generalized (k, mu)'-nullity distribution. Finally, we characterize such a manifold admitting generalized Ricci soliton.
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收藏
页码：1289 / 1301
页数：13
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