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Second Order Parallel Tensor on Almost Kenmotsu Manifolds

Aysel-Turgut Vanli|Devaraja Mallesha Naik|Venkatesha Venkatesha
경북대학교 자연과학대학 수학과|2021.03|Kyungpook Mathematical Journal|제61권 제1호|pp. 191-203

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키워드

almost Kenmotsu manifoldsecond order parallel tensornullity distributionhomothetic vector field
주제분류수학

초록

Let M be an almost Kenmotsu manifold of dimension 2n + 1 having nonvanishing ξ-sectional curvature such that trℓ > −2n − 2. We prove that any second order parallel tensor on M is a constant multiple of the associated metric tensor and obtained some consequences of this. Vector fields keeping curvature tensor invariant are characterized on M.

Abstract

Let M be an almost Kenmotsu manifold of dimension 2n + 1 having nonvanishing ξ-sectional curvature such that trℓ > −2n − 2. We prove that any second order parallel tensor on M is a constant multiple of the associated metric tensor and obtained some consequences of this. Vector fields keeping curvature tensor invariant are characterized on M.

참고문헌 (34)

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