Kyungpook Mathematical Journal

  • 제61권1호
  • /
  • Pages.191-203
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  • 2021
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Second Order Parallel Tensor on Almost Kenmotsu Manifolds

  • 투고 : 2019.11.14
  • 심사 : 2020.07.21
  • 발행 : 2021.03.31
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초록

Let M be an almost Kenmotsu manifold of dimension 2n + 1 having non-vanishing ��-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.

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참고문헌

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