A certain η-parallelism on real hypersurfaces in a nonflat complex space form
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Abstract In this paper, we give the complete classification of real hypersurfaces in a nonflat complex space form from the viewpoint of the η-parallelism of the tensor field h(= (1/2)𝓛 ξ ϕ). In addition we investigate real hypersurfaces whose tensor h is either Killing type or transversally Killing tensor. In particular, we shall determine Hopf hypersurfaces whose tensor h is transversally Killing tensor by using an application of the classification of real hypersurfaces admitting η-parallelism with respect to the tensor h.
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2018 ◽
Vol 104
(2)
◽
pp. 277-284
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2020 ◽
Vol 17
(05)
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pp. 2050073
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2020 ◽
Vol 1597
◽
pp. 012049