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 natural connections on Riemannian manifolds
On new definitions and interpretations of union, hyperasymptotic and hypernormal curves in the three-dimensional Euclidean space
On nonparametric surfaces of constant mean curvature
On null geodesic collineations in some Riemannian spaces
On one family of minimal tori in with planar embedded ends.
On orthogonal conjugate nets in
On osculating spheres to rectifiable curves
On ovaloids in
On piecewise flat surfaces in the sense of Toralballa
On Poncelet's porism
We consider circular annuli with Poncelet's porism property. We prove two identities which imply Chapple's, Steiner's and other formulas. All porisms can be expressed in the form in which elliptic functions are not used.
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 rectifying dual space curves.
On related vector fields of capillary surfaces.
On Riemann-Poisson Lie groups
A Riemann-Poisson Lie group is a Lie group endowed with a left invariant Riemannian metric and a left invariant Poisson tensor which are compatible in the sense introduced in [4]. We study these Lie groups and we give a characterization of their Lie algebras. We give also a way of building these Lie algebras and we give the list of such Lie algebras up to dimension 5.
On rosettes and antipodal rosettes.
On rotation and vibration motions of molecules
On scalar concomitants of geometric objects and their transitive domains
On Schrödinger maps from to
We prove an estimate for the difference of two solutions of the Schrödinger map equation for maps from to This estimate yields some continuity properties of the flow map for the topology of , provided one takes its quotient by the continuous group action of given by translations. We also prove that without taking this quotient, for any the flow map at time is discontinuous as a map from , equipped with the weak topology of to the space of distributions The argument relies in an essential...