Authors: JUAN DE DIOS PEREZ, DAVID PÉREZ-LÓPEZ

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 $M$.

Keywords: g-Tanaka-Webster connection, complex projective space, real hypersurface, $k$-th Cho operator

Full Text: PDF