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http://dx.doi.org/10.4134/JKMS.j190602

KENMOTSU MANIFOLDS SATISFYING THE FISCHER-MARSDEN EQUATION  

Chaubey, Sudhakar Kr (Section of Mathematics Department of Information Technology Shinas College of Technology)
De, Uday Chand (Department of Pure Mathematics University of Calcutta)
Suh, Young Jin (Department of Mathematics Kyungpook National University)
Publication Information
Journal of the Korean Mathematical Society / v.58, no.3, 2021 , pp. 597-607 More about this Journal
Abstract
The present paper deals with the study of Fischer-Marsden conjecture on a Kenmotsu manifold. It is proved that if a Kenmotsu metric satisfies 𝔏*g(λ) = 0 on a (2n + 1)-dimensional Kenmotsu manifold M2n+1, then either ξλ = -λ or M2n+1 is Einstein. If n = 1, M3 is locally isometric to the hyperbolic space H3 (-1).
Keywords
Fischer-Marsden equation; Kenmotsu manifolds; Einstein manifold; space-form;
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