Some new results on real hypersurfaces with generalized Tanaka-Webster connection

Rok, strany: 2019, 665 - 674

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.

ISO 690:

Wang, W., Liu, X. 2019. Some new results on real hypersurfaces with generalized Tanaka-Webster connection. In Mathematica Slovaca, vol. 69, no.3, pp. 665-674. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0255

APA:

Wang, W., Liu, X. (2019). Some new results on real hypersurfaces with generalized Tanaka-Webster connection. Mathematica Slovaca, 69(3), 665-674. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0255