Multi-helicoidal Euclidean submanifolds of constant sectional curvature.
-symmetric submanifolds
New approach for the submanifolds of the Euclidean space.
Nonexistence of Curvature in Most Points of Most Convex Surfaces.
On 2-quasi-umbilical pseudosymmetric hypersurfaces in the Euclidean space.
On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation.
On a problem of W. J. Firey in connection with the characterization of spheres.
On conformally flat hypersurfaces and Guichard's nets.
On Convex Hypersurfaces in a Space Form.
On convex hypersurfaces in
On curves and surfaces in illumination geometry.
On double-ruled hypersurfaces in
We classify locally the induced Riemannian metrics of all irreducible double-ruled hypersurfaces in .
On existence of spacelike surfaces with prescribed boundary.
On generalised Chen and -minimal immersions.
On H. Weyl and H. Minkowski polynomials.
On minimal homothetical hypersurfaces
We give a classification of minimal homothetical hypersurfaces in an (n+1)-dimensional Euclidean space. In fact, when n ≥ 3, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.
On real Kähler Euclidean submanifolds with non-negative Ricci curvature
We show that any real Kähler Euclidean submanifold with either non-negative Ricci curvature or non-negative holomorphic sectional curvature has index of relative nullity greater than or equal to . Moreover, if equality holds everywhere, then the submanifold must be a product of Euclidean hypersurfaces almost everywhere, and the splitting is global provided that is complete. In particular, we conclude that the only real Kähler submanifolds in that have either positive Ricci curvature or...
On the Components of the Push-out Space with Certain Indices
On the Gauss map of complete surfaces of constant mean curvature in R3 and R4.
On the Gauss Map of Surfaces in Rn.