Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces II
JD Pérez, D Pérez-López - arXiv preprint arXiv:2109.03931, 2021 - arxiv.org
JD Pérez, D Pérez-López
arXiv preprint arXiv:2109.03931, 2021•arxiv.orgLet $ M $ be a real hypersurface in complex projective space. The almost contact metric
structure on $ M $ allows us to consider, for any nonnull real number $ k $, the
corresponding $ k $-th generalized Tanaka-Webster connection on $ M $ and, associated to
it, a differential operator of first order of Lie type. Considering such a differential operator and
Lie derivative we define, from the structure Jacobi operator $ R_ {\xi} $ on $ M $ a tensor
field of type (1, 2), $ R_ {{\xi} _T}^{(k)} $. We obtain some classifications of real …
structure on $ M $ allows us to consider, for any nonnull real number $ k $, the
corresponding $ k $-th generalized Tanaka-Webster connection on $ M $ and, associated to
it, a differential operator of first order of Lie type. Considering such a differential operator and
Lie derivative we define, from the structure Jacobi operator $ R_ {\xi} $ on $ M $ a tensor
field of type (1, 2), $ R_ {{\xi} _T}^{(k)} $. We obtain some classifications of real …
Let be a real hypersurface in complex projective space. The almost contact metric structure on allows us to consider, for any nonnull real number , the corresponding -th generalized Tanaka-Webster connection on and, associated to it, a differential operator of first order of Lie type. Considering such a differential operator and Lie derivative we define, from the structure Jacobi operator on a tensor field of type (1,2), . We obtain some classifications of real hypersurfaces for which is either symmetric or skew symmetric.
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