SOME RESULTS ON (ϵ)- KENMOTSU MANIFOLDS

Arpan Sardar

DOI Number
https://doi.org/10.22190/FUMI2001273S
First page
273
Last page
282

Abstract


We have studied curvature symmetries in ($\epsilon$)-Kenmotsu manifolds. Next, we have proved the non-existence of a non-zero parallel 2-form in an ($\epsilon$)-Kenmotsu manifold. Moreover, we have characterised $\phi$-Ricci symmetric ($\epsilon$)-Kenmotsu manifolds and finally, we have proved that under certain restriction on the scalar curvature $divR$=0 and $divC$=0 are equivalent, where `$div$' denotes divergence.

Keywords

{($\epsilon$)-Kenmotsu manifold, curvature symmetries, $\phi$-Ricci symmetric manifold, Weyl curvature tensor.

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References


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DOI: https://doi.org/10.22190/FUMI2001273S

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