Research Article Open Access

On Hypersurfaces of Hessian Manifolds with Constant Hessian Sectional Curvature

Mehmet Bektas, M Yildirim and Mihriban K

Abstract

In this study, we give one instrinsic inequality for Riemannian hypersurfaces in Hessian manifolds and sufficient and necessary condition for such hypersurfaces to be totally geodesic.

Journal of Mathematics and Statistics
Volume 1 No. 2, 2005, 115-118

DOI: https://doi.org/10.3844/jmssp.2005.115.118

Published On: 30 June 2005

How to Cite: Bektas, M., Yildirim, M. & K, M. (2005). On Hypersurfaces of Hessian Manifolds with Constant Hessian Sectional Curvature. Journal of Mathematics and Statistics, 1(2), 115-118. https://doi.org/10.3844/jmssp.2005.115.118

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Keywords

  • Hessian Manifold
  • Totally Geodesic