In this paper we consider the equiform motion of a circle by studying the scalar curvature for the corresponding two-dimensional surface. We prove that if the scalar curvature K is constant, then K = 0. We describe the equations that govern such surfaces
We give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing...
We consider the integral of (the square of) the length of the normal curvature tensor for immersions...
We use equivariant geometry methods to study and classify zero scalar curvature, O(2) x O(2)-invaria...
In this paper we consider the equiform motion of an ellipse by studying the scalar curvature for the...
In this paper we present a local study of a cyclic surface in generated by equiform motions of cir...
In this paper we analyzed the problem of investigating locally the scalar curvature of the two dimen...
The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the...
A global statement about a compact surface with constant Gaussian curvature is derived by elementary...
A global statement about a compact surface with constant Gaussian curvature is derived by elementary...
A global statement about a compact surface with constant Gaussian curvature is derived by elementary...
This paper deals with the surfaces of constant mean curvature in the Euclidean space. The first par...
Equality of zonal areas on a sphere and pseudosphere is extended by elementary geometric methods to ...
Equality of zonal areas on a sphere and pseudosphere is extended by elementary geometric methods to ...
A convex surface contracting by a strictly monotone, homogeneous degree one function of its principa...
We study the evolution of compact convex curves in two-dimensional space forms. The normal speed is ...
We give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing...
We consider the integral of (the square of) the length of the normal curvature tensor for immersions...
We use equivariant geometry methods to study and classify zero scalar curvature, O(2) x O(2)-invaria...
In this paper we consider the equiform motion of an ellipse by studying the scalar curvature for the...
In this paper we present a local study of a cyclic surface in generated by equiform motions of cir...
In this paper we analyzed the problem of investigating locally the scalar curvature of the two dimen...
The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the...
A global statement about a compact surface with constant Gaussian curvature is derived by elementary...
A global statement about a compact surface with constant Gaussian curvature is derived by elementary...
A global statement about a compact surface with constant Gaussian curvature is derived by elementary...
This paper deals with the surfaces of constant mean curvature in the Euclidean space. The first par...
Equality of zonal areas on a sphere and pseudosphere is extended by elementary geometric methods to ...
Equality of zonal areas on a sphere and pseudosphere is extended by elementary geometric methods to ...
A convex surface contracting by a strictly monotone, homogeneous degree one function of its principa...
We study the evolution of compact convex curves in two-dimensional space forms. The normal speed is ...
We give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing...
We consider the integral of (the square of) the length of the normal curvature tensor for immersions...
We use equivariant geometry methods to study and classify zero scalar curvature, O(2) x O(2)-invaria...