Conformal vector fields on almost co-Kähler manifolds
Keyword(s):
Abstract In this paper, we characterize almost co-Kähler manifolds with a conformal vector field. It is proven that if an almost co-Kähler manifold has a conformal vector field that is collinear with the Reeb vector field, then the manifold is a K-almost co-Kähler manifold. It is also shown that if a (κ, μ)-almost co-Kähler manifold admits a Killing vector field V, then either the manifold is K-almost co-Kähler or the vector field V is an infinitesimal strict contact transformation, provided that the (1,1) tensor h remains invariant under the Killing vector field.
Keyword(s):
2020 ◽
Vol 17
(10)
◽
pp. 2050153
◽
Keyword(s):
2006 ◽
Vol 17
(01)
◽
pp. 35-43
◽
1998 ◽
Vol 21
(1)
◽
pp. 69-72
◽
Keyword(s):
2016 ◽
Vol 08
(04)
◽
pp. 589-626
◽
1995 ◽
Vol 18
(2)
◽
pp. 331-340