Results 111 to 120 of about 179 (133)
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Rigidity for Closed Totally Umbilical Hypersurfaces in Space Forms
The Journal of Geometric Analysis, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Xu, Zhou, Detang
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Legendre magnetic flows for totally η-umbilic real hypersurfaces in a complex hyperbolic space
Differential Geometry and its Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Qingsong, Adachi, Toshiaki
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Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$
Glasgow Mathematical JournalAbstractIn this paper, we prove the non-existence of Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the $4$ -dimensional model space $\mathrm {Sol}_1^4$ .
Zlatko Erjavec, Jun-ichi Inoguchi
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ON RIEMANNIAN MANIFOLDS WHICH ADMIT A PARALLEL FAMILY OF TOTALLY UMBILICAL HYPERSURFACES
The Quarterly Journal of Mathematics, 1985A parallel family of totally umbilical hypersurfaces in a Riemannian manifold is a smooth 1-parameter family of codimension -1 totally umbilical submanifolds every two of which are locally a constant distance apart. A perfect example is a family of concentric spheres in Euclidean space or some other space form.
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Totally umbilical degenerate Monge hypersurfaces of R 2 4
1996The purpose of the paper is to determine all totally umbilical degenerate Monge hypersurfaces of R 4 2 . To this end, we recall the terminology and few results from Bejancu - Duggal [1].
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On totally umbilical hypersurfaces of weakly projective symmetric spaces
2013Summary: The object of the present paper is to study the totally umbilical hypersurfaces of weakly projective symmetric spaces and it is shown that the totally umbilical hypersurfaces of a weakly projective symmetric space are also weakly projective symmetric spaces.
Hui, Shyamal Kumar, Zengin, Füsun Özen
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2020
Some relations involving the Ricci and scalar curvatures of totally $\eta$-umbilical real hypersurfaces of a complex space form are examined. With the help of these relations, some results on totally $\eta$-umbilical real hypersurfaces of a complex space form are given.
DENİZ, Özlem, GÜLBAHAR, Mehmet
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Some relations involving the Ricci and scalar curvatures of totally $\eta$-umbilical real hypersurfaces of a complex space form are examined. With the help of these relations, some results on totally $\eta$-umbilical real hypersurfaces of a complex space form are given.
DENİZ, Özlem, GÜLBAHAR, Mehmet
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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
Family of Totally Umbilical Hypersurfaces in an Einstein Space
The Annals of Mathematics, 1943openaire +2 more sources