On the holonomy group of hypersurfaces

2014/01/26 by Kassabov, Ognian
#53B25 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1401.6627

Abstract

Hypersurfaces of manifolds of constant nonzero sectional curvature are classificated according their restricted homogeneous holonomy groups.

Related

• Classification of separable hypersurfaces with constant sectional curvature
• Curvature homogeneous hypersurfaces in space forms
• Holonomy Groups in Riemannian Geometry
• Hypersurfaces with constant sectional curvature of \Sfⁿ× \R and \Hyⁿ× \R
• Holonomy of Manifolds with Density