A study on hypersurface of complex space form

  • C. S. Bagewadi Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka
  • M. C. Bharathi Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka
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

Abstract

We 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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Published
2013-06-12
Section
Articles