Turkish Journal of Mathematics
Abstract
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 operator$A$ of $M$.
DOI
10.3906/mat-2006-8
Keywords
g-Tanaka-Webster connection, complex projective space, real hypersurface, $k$-th Cho operator
First Page
1801
Last Page
1808
Recommended Citation
PEREZ, J. D, & PÉREZ-LÓPEZ, 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. https://doi.org/10.3906/mat-2006-8
