Conformal vector fields on almost Kenmotsu manifolds

被引:0
|
作者
De, Uday Chand [1 ]
Sardar, Arpan [2 ]
De, Krishnendu [3 ]
机构
[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, W Bengal, India
[2] Univ Kalyani, Dept Math, Nadia 741235, W Bengal, India
[3] Univ Burdwan, Dept Math, Kabi Sukanta Mahavidyalaya, PO Angus, Hooghly 712221, W Bengal, India
关键词
Conformal vector fields; Infinitesimal strict contact transformation; eta-Ricci-Yamabe solitons; Almost Kenmotsu manifolds; (k; mu)'-almost Kenmotsu manifolds;
D O I
10.1007/s13370-023-01118-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, first we consider that the conformal vector field X is identical with the Reeb vector field sigma and next, assume that X is pointwise collinear with the Reeb vector field sigma; in both cases it is shown that the manifold N2m+1 becomes a Kenmotsu manifold and N2m+1 is locally a warped product N' x (f) M-2m, in which M-2m indicate an almost Kahler manifold, with coordinate t, N' being the open interval and f = ce(t) for some c ( positive constant). Beside these, we establish that if a (k, p)'-almost Kenmotsu manifold admits a Killing vector field X, then either it is locally a warped product of an open interval and an almost Kahler manifold or X is a strict infinitesimal contact transformation. Furthermore, we also investigate eta-Ricci-Yamabe soliton with conformal vector fields on (k, p)'-almost Kenmotsu manifolds and finally, we construct two examples.
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页数:13
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