On $\phi$-skew symmetric conformal vector fields
Copyright policy )On $\phi$-skew symmetric conformal vector fields
Summary: The notion of the \(J\)-skew symmetric vector field was introduced by \textit{I. Mihai, L. Nicolescu} and \textit{R. Rosca} [Port. Math. 54, 215-228 (1997; Zbl 0880.53029)]. In the present paper, we deal with \(\varphi\)-skew symmetric conformal vector fields on a Kenmotsu manifold \(M(\varphi,\Omega,\eta,\xi,g)\). A necessary and sufficient condition for \(M\) to admit such a vector field \(C\) is given. In this case, \(C\) defines an infinitesimal relative conformal transformation of \(\Omega\) and \(\varphi C\) is a relatively integral invariant of \(\Omega\).
relative conformal transformation, Special Riemannian manifolds (Einstein, Sasakian, etc.), General geometric structures on manifolds (almost complex, almost product structures, etc.), conformal cohomological transformation, Kenmotsu manifold, \(\phi\)-skew symmetric conformal vector field, Almost contact and almost symplectic manifolds
relative conformal transformation, Special Riemannian manifolds (Einstein, Sasakian, etc.), General geometric structures on manifolds (almost complex, almost product structures, etc.), conformal cohomological transformation, Kenmotsu manifold, \(\phi\)-skew symmetric conformal vector field, Almost contact and almost symplectic manifolds
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