Abstract
We show that necessary and sufficient condition in order that K‐ conformal Killing equation is completely integrable is that the Kaehlerian manifold K2m(m > 2) is of constant holomorphic sectional curvature.
Highlights
Let M be an n-dimensional Riemannian manifold
’ mal Killing equation is completely integrable is that the Kaehlerian manifold K
In M’, a p-form u is said to be Killing, ifit satisfies the Killing-Yano’s equation: Vioiai2...i, Via tioi=...i, O, where V denotes the operator of the Riemannian covarient derivative
Summary
Let M be an n-dimensional Riemannian manifold. Denote respectively by gii, Ri, Rii R,ii" and R 9JiRii the metric, the curvature- tensor, the Ricci tensor, and the scalar curvature of Reimannian manifold in terms of local coordinates {zi}, where Latin indices run over the range {1, 2,..., n}. ’ mal Killing equation is completely integrable is that the Kaehlerian manifold K (m > 2) is of constant holomorphic sectional curvature. Kaehlerian manifold, K-conformal Killing equation, completely integrability.
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