@misc{10481/70864,
year = {2021},
month = {9},
url = {http://hdl.handle.net/10481/70864},
abstract = {We consider real hypersurfaces M in complex projective space
equipped with both the Levi-Civita and generalized Tanaka–Webster
connections. Associated with the generalized Tanaka–Webster connection
we can define a differential operator of first order. For any nonnull
real number k and any symmetric tensor field of type (1,1) B on M,
we can define a tensor field of type (1,2) on M, B(k)
T , related to Lie derivative
and such a differential operator. We study symmetry and skew
symmetry of the tensor A(k)
T associated with the shape operator A of
M.},
organization = {MINECO-FEDER Project	MTM 2016-78807-C2-1-P},
publisher = {Springer},
keywords = {kth g-Tanaka–Webster connection},
keywords = {Complex projective space},
keywords = {Real hypersurface},
keywords = {Shape operator},
keywords = {Lie derivatives},
title = {Lie Derivatives of the Shape Operator of a Real Hypersurface in a Complex Projective Space},
doi = {10.1007/s00009-021-01832-3},
author = {Pérez Jiménez, Juan De Dios and Pérez López, David},
}