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Codazzi and totally umbilical hypersurfaces in Sol^4_1

As generalizations of totally geodesic hypersurfaces, parallel and Codazzi hypersurfaces in homogeneous Riemannian spaces represent intriguing topics for differential geometers. It is proven that Codazzi and totally umbilical hypersurfaces - especially totally geodesic hypersurfaces - do not exist in the 4-dimensional model space Sol^4_1.
openaire  

Conformal Slant Riemannian Maps with Totally Umbilical Fibers

Mediterranean Journal of Mathematics, 2022
Rakesh Kumar, Rupali Kaushal
exaly  

First nonzero eigenvalue of a pseudo-umbilical hypersurface in the unit sphere

Russian Mathematics, 2014
Majid Ali Choudhary, Choudhary Majid Ali
exaly  

Classification of totally umbilical $\xi^\perp$ CR-submanifolds of cosymplectic manifolds

Rocky Mountain Journal of Mathematics, 2015
Cenap Ozel   +2 more
exaly  

Levi-umbilical weakly 2-Hopf hypersurface in nonflat complex planes

Journal of Mathematical Analysis and Applications
Yaning Wang
exaly  

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