Author:
Pérez Juan de Dios,Pérez-López David
Abstract
AbstractWe consider real hypersurfacesMin complex projective space equipped with both the Levi–Civita and generalized Tanaka–Webster connections. For any nonnull constantkand any symmetric tensor field of type (1, 1)LonM, we can define two tensor fields of type (1, 2) onM,$$L_F^{(k)}$$LF(k)and$$L_T^{(k)}$$LT(k), related to both connections. We study the behaviour of the structure operator$$\phi $$ϕwith respect to such tensor fields in the particular case of$$L=A$$L=A, the shape operator ofM, and obtain some new characterizations of ruled real hypersurfaces in complex projective space.
Publisher
Springer Science and Business Media LLC
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