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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
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

Open AccessCopyright: © 2005 Mehmet Bektas, M Yildirim and Mihriban K. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Hessian Manifold
  • Totally Geodesic