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.
On the -theorem for hypersurfaces
On the osculating spaces of submanifolds in Euclidean spaces
On the rigidity of certain surfaces in
On the total (non absolute) curvature of a even dimensional submanifold Xn immersed in Rn+2.
The total curvatures of the submanifolds immersed in the Euclidean space have been studied mainly by Santaló and Chern-Kuiper. In this paper we give geometrical and topological interpretation of the total (non absolute) curvatures of the even dimensional submanifolds immersed in Rn+2. This gives a generalization of two results obtained by Santaló.