Hypersurfaces of a Sasakian space form with recurrent shape operator

Author(s):

E. Abedi , M. Ilmakchi

Abstract:
Let (M 2n, g) be a real hypersurface with recurrent shape operator and tangent to the structure vector field xi of the Sasakian space form widetildeM(c). We show that if the shape operator A of M is recurrent then it is parallel. Moreover, we show that M is locally a product of two constant phi− sectional curvature spaces.
Keywords:

Recurrent hypersurfacesý , ýSasakian manifoldý

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:41 Issue: 5, 2015
Page:
1287
https://www.magiran.com/p1463812