In 1968, J. Simons discovered a fundamental formula for the Laplacian of the sec-ond fundamental form of a minimal submanifold in a Riemannian manifold. He then used this formula to characterize certain minimal submanifolds of a sphere and Euclidean space (see [17]). One year later, K. Nomizu and B. Smyth general
We consider the problem of representation of minimal surfaces in the euclidean space and provide a p...
Minimal surfaces and surfaces with constant mean curvature (CMC) have fascinated differential geomet...
Abstract. For minimal surfaces in spheres, there is a well known conjecture about the quantization o...
In Euclidean $3$-space, it is well known that the Sine-Gordon equation was considered in the ninetee...
A second fundamental form is introduced for arbitrary closed subsets of Euclidean space, extending t...
Abstract. We prove a Simons type formula for submanifolds with parallel mean curvature vector field ...
Cette thèse s'inscrit dans l'étude des sous-variétés minimales et à courbure moyenne constante et de...
In this dissertation, minimal and constant mean curvature surface theory in 3-dimensional Riemannian...
Part of the Mathematics Commons This Article is brought to you for free and open access by the Mathe...
Abstract. The critical points of the area functional of the second fundamental form of Riemannian su...
The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the...
This book contains recent results from a group focusing on minimal surfaces in the Moscow State Univ...
We develop a surface theory in pseudohermitian geometry. We define a notion of (p-)mean curvature an...
This thesis is meant as an introduction to the subject of minimal surfaces, i.e. surfaces having mea...
A second fundamental form is introduced for arbitrary closed subsets of Euclidean space, extending t...
We consider the problem of representation of minimal surfaces in the euclidean space and provide a p...
Minimal surfaces and surfaces with constant mean curvature (CMC) have fascinated differential geomet...
Abstract. For minimal surfaces in spheres, there is a well known conjecture about the quantization o...
In Euclidean $3$-space, it is well known that the Sine-Gordon equation was considered in the ninetee...
A second fundamental form is introduced for arbitrary closed subsets of Euclidean space, extending t...
Abstract. We prove a Simons type formula for submanifolds with parallel mean curvature vector field ...
Cette thèse s'inscrit dans l'étude des sous-variétés minimales et à courbure moyenne constante et de...
In this dissertation, minimal and constant mean curvature surface theory in 3-dimensional Riemannian...
Part of the Mathematics Commons This Article is brought to you for free and open access by the Mathe...
Abstract. The critical points of the area functional of the second fundamental form of Riemannian su...
The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the...
This book contains recent results from a group focusing on minimal surfaces in the Moscow State Univ...
We develop a surface theory in pseudohermitian geometry. We define a notion of (p-)mean curvature an...
This thesis is meant as an introduction to the subject of minimal surfaces, i.e. surfaces having mea...
A second fundamental form is introduced for arbitrary closed subsets of Euclidean space, extending t...
We consider the problem of representation of minimal surfaces in the euclidean space and provide a p...
Minimal surfaces and surfaces with constant mean curvature (CMC) have fascinated differential geomet...
Abstract. For minimal surfaces in spheres, there is a well known conjecture about the quantization o...