A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature. (18th June 2011)

• Record Type: Journal Article
• Authors: Yildirim Yilmaz, Münevver; Bektaş, Mehmet
• Other Names: Sivasubramanian S. Academic Editor.
• Is Part Of: ISRN geometry. Volume 2011(2011)
• Publication Date: 2011-06-18
• Subjects: Geometry -- Periodicals; Topology -- Periodicals; Geometry; Topology; Periodicals; 516
• DOI: 10.5402/2011/374584
• Languages: English
• ISSNs: 2090-6307

Abstract

Abstract : The geometry of Hessian manifold, as a branch of statistics, physics, Kaehlerian, and affine differential geometry, is deeply fruitful and a new field for scientists. However, inspite of its importance submanifolds and curvature conditions of it have not been so well known yet. In this paper, we focus on the pseudo-umbilical submanifolds on Hessian manifold with constant Hessian sectional curvature and using sectional curvature conditions we obtain new results on it.