On minimal annuli in a slab.
On minimal generic submanifolds immersed in
We give a pinching theorem for a compact minimal generic submanifold with flat normal connection immersed in an odd-dimensional sphere with standard Sasakian structure.
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 minimal hypersurfaces of nonnegatively Ricci curved manifolds.
On minimal immersions of into
On minimal surfaces in
On minimal surfaces with free boundaries in given homotopy classes
On motion of robot end-effector using the curvature theory of timelike ruled surfaces with timelike rulings.
On mutational deformation retracts
On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings [Book]
On -quasi Einstein manifolds satisfying certain conditions.
On natural connections on Riemannian manifolds
On natural metrics on tangent bundles of Riemannian manifolds
There is a class of metrics on the tangent bundle of a Riemannian manifold (oriented , or non-oriented, respectively), which are ’naturally constructed’ from the base metric [Kow-Sek1]. We call them “-natural metrics" on . To our knowledge, the geometric properties of these general metrics have not been studied yet. In this paper, generalizing a process of Musso-Tricerri (cf. [Mus-Tri]) of finding Riemannian metrics on from some quadratic forms on to find metrics (not necessary Riemannian)...
On natural operations with linear connections
On natural para-Hermitian structures on twisted products of Lie groups
This survey article presents certain results concerning natural left invariant para-Hermitian structures on twisted (especially, semidirect) products of Lie groups.
On naturally reductive left-invariant metrics of
On any real semisimple Lie group we consider a one-parameter family of left-invariant naturally reductive metrics. Their geodesic flow in terms of Killing curves, the Levi Civita connection and the main curvature properties are explicitly computed. Furthermore we present a group theoretical revisitation of a classical realization of all simply connected 3-dimensional manifolds with a transitive group of isometries due to L. Bianchi and É. Cartan. As a consequence one obtains a characterization of...
On neighborhoods of the Kuratowski imbedding beyond the first extremum of the diameter functional
On new characterization of inextensible flows of space-like curves in de Sitter space
Elastica and inextensible flows of curves play an important role in practical applications. In this paper, we construct a new characterization of inextensible flows by using elastica in space. The inextensible flow is completely determined for any space-like curve in de Sitter space [...] S 1 3 . Finally, we give some characterizations for curvatures of a space-like curve in de Sitter space [...] S 1 3 .
On new definitions and interpretations of union, hyperasymptotic and hypernormal curves in the three-dimensional Euclidean space
On new examples of complete noncompact Spin(7)-holonomy metrics.