Lie Derivatives of the Shape Operator of a Real Hypersurface in a Complex Projective Space

Abstract We consider real hypersurfaces M in complex projective space equipped with both the Levi-Civita and generalized Tanaka–Webster connections. Associated connection we can define a differential operator of first order. For any nonnull number k symmetric tensor field type (1,1) B on , (1,2) $$B^{(k)}_T$$ BT(k) related to Lie derivative such operator. study symmetry skew $$A^{(k)}_T$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">AT(k) associated shape A .