Some new results on real hypersurfaces with generalized Tanaka-Webster connection
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Abstract Let M be a real hypersurface in nonflat complex space forms of complex dimension two. In this paper, we prove that the shape operator of M is transversally Killing with respect to the generalized Tanaka-Webster connection if and only if M is locally congruent to a type (A) or (B) real hypersurface. We also prove that shape operator of M commutes with Cho operator on holomorphic distribution if and only if M is locally congruent to a ruled real hypersurface.
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2020 ◽
Vol 17
(05)
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pp. 2050073
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2005 ◽
Vol 57
(2)
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pp. 223-230
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2004 ◽
Vol 80
(5)
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pp. 61-64
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