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http://dx.doi.org/10.5666/KMJ.2021.61.1.191

Second Order Parallel Tensor on Almost Kenmotsu Manifolds  

Venkatesha, Venkatesha (Department of Mathematics, Kuvempu University)
Naik, Devaraja Mallesha (Department of Mathematics, Kuvempu University)
Vanli, Aysel-Turgut (Department of Mathematics, Gazi University)
Publication Information
Kyungpook Mathematical Journal / v.61, no.1, 2021 , pp. 191-203 More about this Journal
Abstract
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.
Keywords
almost Kenmotsu manifold; second order parallel tensor; nullity distribution; homothetic vector field;
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