On hypersurfaces in a locally affine Riemannian Banach manifold II
In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature. In this note, we prove the converse, in other words, we prove that a hypersurface of constan...
Saved in:
Main Authors: | El-Said R. Lashin, Tarek F. Mersal |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2004-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171204203325 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products
by: Ning Zhang
Published: (2021-01-01) -
Warped Product Submanifolds of Riemannian Product Manifolds
by: Falleh R. Al-Solamy, et al.
Published: (2012-01-01) -
On minimal hypersurfaces of nonnegatively Ricci curved manifolds
by: Yoe Itokawa
Published: (1993-01-01) -
Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite -Manifolds
by: Rachna Rani, et al.
Published: (2013-01-01) -
The Hijazi Inequalities on Complete Riemannian Spinc Manifolds
by: Roger Nakad
Published: (2011-01-01)