On the structure of the set of curves bounding minimal surfaces of prescribed degeneracy.
On the surface of Lorentz manifold whose normal bundles have special properties
On the Surfaces Whose Normal Bundles Have Special Properties
On the tangential velocity arising in a crystalline approximation of evolving plane curves
In a crystalline algorithm, a tangential velocity is used implicitly. In this short note, it is specified for the case of evolving plane curves, and is characterized by using the intrinsic heat equation.
On the theorem of Meusnier in Weyl spaces
On the total absolute curvature of closed curves in spheres.
On the total curvature and area growth of minimal surfaces in Rn.
On the total mean curvature of a nonrigid surface.
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.
On the uniqueness of some differential invariants: , ,
On the upward motion of a double cone on an inclined plane.
On the volume of the trajectory surfaces under the homothetic motions.
On torsion of a -web
A 3-web on a smooth -dimensional manifold can be regarded locally as a triple of integrable -distributions which are pairwise complementary, [5]; that is, we can work on the tangent bundle only. This approach enables us to describe a -web and its properties by invariant -tensor fields and where is a projector and id. The canonical Chern connection of a web-manifold can be introduced using this tensor fields, [1]. Our aim is to express the torsion tensor of the Chern connection through...
On transnormal horizons of convex hypersurfaces
On using curvature to demonstrate stability.
On values of Gauss maps of complete minimal surfaces on annular ends.
On values of the Gauss map of complete minimal surfaces in R3.
On variation of the volume under infinitesimal bending of a closed rotational surface.
On Veronese surfaces
On Veronese-Borůvka spheres
In this paper, history of reserches for minimal immersions from constant Gaussian curvature 2-manifolds into space forms is explained with special emphasis of works of O. Borůvka. Then recent results for the corresponding probrem to classify minimal immersions of such surfaces in complex space forms are discussed.