New results on derivatives of the shape operator of a real hypersurface in a complex projective space
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Scientific and Technical Research Council of Turkey
g-Tanaka-Webster connectionComplex projective spaceReal hypersurfacek-th Cho operator
PEREZ, J. D. D., & Perez-lopez, D. (2021). New results on derivatives of the shape operator of a real hypersurface in a complex projective space. Turkish Journal of Mathematics, 45(4), 1801-1808. doi:[10.3906/mat-2006-8]
SponsorshipMINECO-FEDER Project MTM 2016-78807-C2-1-P
We consider real hypersurfaces M in complex projective space equipped with both the Levi-Civita and generalized Tanaka-Webster connections. For any nonnull real number k and any symmetric tensor field of type (1,1) L on M we can define a tensor field of type (1,2) on M, L(k) F , related to both connections. We study symmetry and skewsymmetry of the tensor A(k) F associated to the shape operatorA of M.