A study on hypersurface of complex space form
Keywords: Quasi-Einstein, generalized quasi-Einstein, mixed generalized quasi-Einstein, mixed super quasi-Einstein, quasi-umbilical, generalized quasi-umbilical and super quasi-umbilical hypersurfaces, Kähler manifold, complex space form
AbstractWe show that quasi-umbilical, generalized quasi-umbilical, super quasi-umbilical hypersurfaces of a complex space form are quasi-Einstein, mixed generalized quasi-Einstein and mixed super quasi-Einstein manifolds, respectively. We also prove that a Bochner at space of generalized complex space form is an Einstein manifold.
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