Regularity and uniqueness of harmonic maps into and ellipsoid.
Relative isoperimetric inequality for minimal submanifolds in a Riemannian manifold.
Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells
Revisiting linear Weingarten spacelike submanifolds immersed in a locally symmetric semi-Riemannian space
In this paper, we deal with -dimensional complete linear Weingarten spacelike submanifolds immersed with parallel normalized mean curvature vector field and flat normal bundle in a locally symmetric semi-Riemannian space of index , which obeys some curvature constraints (such an ambient space can be regarded as an extension of a semi-Riemannian space form). Under appropriate hypothesis, we are able to prove that such a spacelike submanifold is either totally umbilical or isometric to an isoparametric...
Ricci and Casorati principal directions of Chen ideal submanifolds
Ricci curvature of real hypersurfaces in complex hyperbolic space
First we prove a general algebraic lemma. By applying the algebraic lemma we establish a general inequality involving the Ricci curvature of an arbitrary real hypersurface in a complex hyperbolic space. We also classify real hypersurfaces with constant principal curvatures which satisfy the equality case of the inequality.
Riemannsche Mannigfaltigkeiten konstanter positiver Krümmung in euklidischen Räumen der Kodimension 2.
Rigidity of minimal hypersurfaces of spheres with constant Ricci curvature.
Rigidity of Minimal Submanifolds in Space Forms.
Rigidity of Minimal Surfaces in S3.
Rigidity of Rank-One Factors of Compact Symmetric Spaces
We consider the decomposition of a compact-type symmetric space into a product of factors and show that the rank-one factors, when considered as totally geodesic submanifolds of the space, are isolated from inequivalent minimal submanifolds.
Rigidity of the Clifford Tori in S3.
S1-equivariant Minimal Tori in S4 and S1-equivariant Willmore Tori in S3.
Saddle surfaces admitting local support planes.
Scalar Curvature and Real Submanifolds of Codimension 2 of a Complex Projective Space.
Screen conformal half-lightlike submanifolds.
Second variation and stabilities of minimal lagrangian submanifolds in Kähler manifolds.
Sectional curvatures of minimal hypersurfaces immersed in
Semiparallel isometric immersions of 3-dimensional semisymmetric Riemannian manifolds
A Riemannian manifold is said to be semisymmetric if . A submanifold of Euclidean space which satisfies is called semiparallel. It is known that semiparallel submanifolds are intrinsically semisymmetric. But can every semisymmetric manifold be immersed isometrically as a semiparallel submanifold? This problem has been solved up to now only for the dimension 2, when the answer is affirmative for the positive Gaussian curvature. Among semisymmetric manifolds a special role is played by the foliated...
Semi-slant Riemannian maps into almost Hermitian manifolds
We introduce semi-slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of semi-slant immersions, invariant Riemannian maps, anti-invariant Riemannian maps and slant Riemannian maps. We obtain characterizations, investigate the harmonicity of such maps and find necessary and sufficient conditions for semi-slant Riemannian maps to be totally geodesic. Then we relate the notion of semi-slant Riemannian maps to the notion of pseudo-horizontally weakly conformal...