A study on hypersurface of complex space form

Authors

  • 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

DOI:

https://doi.org/10.12697/ACUTM.2013.17.05

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.

Downloads

Download data is not yet available.

Downloads

Published

2013-06-12

Issue

Vol. 17 No. 1 (2013)

Section

Articles