Abstract. The critical points of the area functional of the second fundamental form of Riemannian surfaces in three-dimensional semi-Riemannian manifolds are determined. They are characterized by the vanishing of a scalar function, which will be called the mean curvature of the second fundamental form. A property which involves this new mean curvature is distinctive for totally umbilical surfaces. 1
The mean curvature flow arises material science and condensed matter physics and has been recently s...
Surfaces of non–zero constant mean curvature in Euclidean 3–space are stud-ied from a variety of dif...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...
In this paper we show that a complete and non-compact surface immersed in the Euclidean space with q...
A second fundamental form is introduced for arbitrary closed subsets of Euclidean space, extending t...
We study quadric surfaces in Euclidean 3-space with non-degenerate second fundamental form, and clas...
The purpose of this paper is to show that a classical approach of the definition of curvature associ...
AbstractThe Gaussian curvature of a two-dimensional Riemannian manifold is uniquely determined by th...
The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the...
Abstract. In this paper we study the second fundamental form of transla-tion surfaces in the 3-dimen...
In 1968, J. Simons discovered a fundamental formula for the Laplacian of the sec-ond fundamental for...
In this paper we show that a complete and non-compact surface immersed in the Euclidean space with q...
Abstract. In this paper, we mainly investigate non-developable ruled surface in a 3-dimensional Eucl...
The surface area preserving mean curvature flow is a mean curvaturetype flow with a global forcing t...
Let ψ: M → N be an immersion of an orientable surface into a three dimensional oriented Riemannian m...
The mean curvature flow arises material science and condensed matter physics and has been recently s...
Surfaces of non–zero constant mean curvature in Euclidean 3–space are stud-ied from a variety of dif...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...
In this paper we show that a complete and non-compact surface immersed in the Euclidean space with q...
A second fundamental form is introduced for arbitrary closed subsets of Euclidean space, extending t...
We study quadric surfaces in Euclidean 3-space with non-degenerate second fundamental form, and clas...
The purpose of this paper is to show that a classical approach of the definition of curvature associ...
AbstractThe Gaussian curvature of a two-dimensional Riemannian manifold is uniquely determined by th...
The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the...
Abstract. In this paper we study the second fundamental form of transla-tion surfaces in the 3-dimen...
In 1968, J. Simons discovered a fundamental formula for the Laplacian of the sec-ond fundamental for...
In this paper we show that a complete and non-compact surface immersed in the Euclidean space with q...
Abstract. In this paper, we mainly investigate non-developable ruled surface in a 3-dimensional Eucl...
The surface area preserving mean curvature flow is a mean curvaturetype flow with a global forcing t...
Let ψ: M → N be an immersion of an orientable surface into a three dimensional oriented Riemannian m...
The mean curvature flow arises material science and condensed matter physics and has been recently s...
Surfaces of non–zero constant mean curvature in Euclidean 3–space are stud-ied from a variety of dif...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...