On the volume of a unit vector field on the three-sphere.
On Tori with Parallel Mean Curvature Vector in a Space of Constant Curvature.
On total curvature of immersions and minimal submanifolds of spheres
For closed immersed submanifolds of Euclidean spaces, we prove that , where is the mean curvature field, the volume of the given submanifold and is the radius of the smallest sphere enclosing the submanifold. Moreover, we prove that the equality holds only for minimal submanifolds of this sphere.
On totally umbilical -submanifolds of a Kähler manifold.
On totally umbilical cosymplectic hypersurfaces of six-dimensional Hermitian submanifolds of Cayley algebra
On totally umbilical submanifolds in nearly Kählerian manifolds
On totally umbilical submanifolds of a locally Minkowski manifold.
On totally umbilical submanifolds of Finsler spaces
The notion of a totally umbilical submanifold of a Finsler manifold is introduced. Some Gauss equations are given and some results on totally umbilical submanifolds of Riemannian manifolds are generalized. Totally umbilical submanifolds of Randers spaces are studied; a rigidity theorem and an example are given.
On Warped Product Manifolds Satisfying some Curvature Condition of Pseudosymmetric Type
Optimal inequalities for embedded space-times
Oriented 6-dimensional submanifolds in the octonions. III.
Osculating curves in 4-dimensional semi-Euclidean space with index 2
In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves. Also we give some examples of non-null osculating curves in [...] E24 .