On three-dimensional hypersurfaces with type number two in $\mathbb {H}^4$ and $\mathbb {S}^4$ treated in intrinsic way

Hájková, V.; Kowalski, O.; Sekizawa, M.

Displaying similar documents to “On three-dimensional hypersurfaces with type number two in $ℍ^{4}$ and $𝕊^{4}$ treated in intrinsic way”

On complete linear Weingarten hypersurfaces in locally symmetric Riemannian manifolds

Cícero P. Aquino, Henrique F. de Lima, Fábio R. dos Santos, Marco Antonio L. Velásquez (2015)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Our aim is to apply suitable generalized maximum principles in order to obtain characterization results concerning complete linear Weingarten hypersurfaces immersed in a locally symmetric Riemannian manifold, whose sectional curvature is supposed to obey standard constraints. In this setting, we establish sufficient conditions to guarantee that such a hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures one of which is...

Hypersurfaces in 4-dimensional Euclidean space

Hideya Hashimoto (1990)

Czechoslovak Mathematical Journal

Similarity:

Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds

J. Deprez, R. Deszcz, L. Verstraelen (1988)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Similarity:

On the equivalence of Ricci-semisymmetry and semisymmetry

Kadri Arslan, Yunus Çelik, Ryszard Deszcz, Ridvan Ezentaş (1998)

Colloquium Mathematicae

Similarity:

Displaying similar documents to “On three-dimensional hypersurfaces with type number two in ℍ 4 and 𝕊 4 treated in intrinsic way”

On complete linear Weingarten hypersurfaces in locally symmetric Riemannian manifolds

Hypersurfaces in 4-dimensional Euclidean space

Pseudo-symmetry curvature conditions on hypersurfaces of Euclidean spaces and on Kahlerian manifolds

On the equivalence of Ricci-semisymmetry and semisymmetry

Displaying similar documents to “On three-dimensional hypersurfaces with type number two in $ℍ^{4}$ and $𝕊^{4}$ treated in intrinsic way”