Add to ORKGWe study the old problem of isometrically embedding a two-dimensional Riemannian manifold into Euclidean three-space. It is shown that if the Gaussian curvature vanishes to finite order and its zero set consists of two Lipschitz curves intersecting transversely at a point, then local sufficiently smooth isometric embeddings exist.MathematicsSCI(E)5ARTICLE4649-7041
Let Σ be a hypersurface in an n-dimensional Riemannian manifold M, n≥2. We study the isometric exten...
This thesis is a study of problems related to isometric immersions of Riemannian manifolds in Euclid...
22 pagesA Ricci surface is a Riemannian 2-manifold $(M,g)$ whose Gaussian curvature $K$ satisfies $K...
In this note, we give a short survey on the global isometric embedding of surfaces (2-dimensional Ri...
We consider two natural problems arising in geometry which are equivalent to the local solvability o...
A classical problem in differential geometry is that of isometrically embedding surfaces in R$\sp3$....
The purpose of this paper is to classify surfaces in Euclidean 3- space with constant Gaussian curva...
We study trapped surfaces from the point of view of local isometric embedding into 3D Riemannian ma...
We study trapped surfaces from the point of view of local isometric embedding into 3D Riemannian ma...
Abstract. In this paper, we mainly investigate non-developable ruled surface in a 3-dimensional Eucl...
We summarize the conditions imposed on the curvature of Riemannian submanifolds of the Euclidean spa...
We summarize the conditions imposed on the curvature of Riemannian submanifolds of the Euclidean spa...
We summarize the conditions imposed on the curvature of Riemannian submanifolds of the Euclidean spa...
We summarize the conditions imposed on the curvature of Riemannian submanifolds of the Euclidean spa...
We give a new proof for the local existence of a smooth isometric embedding of a smooth 3-dimensiona...
Let Σ be a hypersurface in an n-dimensional Riemannian manifold M, n≥2. We study the isometric exten...
This thesis is a study of problems related to isometric immersions of Riemannian manifolds in Euclid...
22 pagesA Ricci surface is a Riemannian 2-manifold $(M,g)$ whose Gaussian curvature $K$ satisfies $K...
In this note, we give a short survey on the global isometric embedding of surfaces (2-dimensional Ri...
We consider two natural problems arising in geometry which are equivalent to the local solvability o...
A classical problem in differential geometry is that of isometrically embedding surfaces in R$\sp3$....
The purpose of this paper is to classify surfaces in Euclidean 3- space with constant Gaussian curva...
We study trapped surfaces from the point of view of local isometric embedding into 3D Riemannian ma...
We study trapped surfaces from the point of view of local isometric embedding into 3D Riemannian ma...
Abstract. In this paper, we mainly investigate non-developable ruled surface in a 3-dimensional Eucl...
We summarize the conditions imposed on the curvature of Riemannian submanifolds of the Euclidean spa...
We summarize the conditions imposed on the curvature of Riemannian submanifolds of the Euclidean spa...
We summarize the conditions imposed on the curvature of Riemannian submanifolds of the Euclidean spa...
We summarize the conditions imposed on the curvature of Riemannian submanifolds of the Euclidean spa...
We give a new proof for the local existence of a smooth isometric embedding of a smooth 3-dimensiona...
Let Σ be a hypersurface in an n-dimensional Riemannian manifold M, n≥2. We study the isometric exten...
This thesis is a study of problems related to isometric immersions of Riemannian manifolds in Euclid...
22 pagesA Ricci surface is a Riemannian 2-manifold $(M,g)$ whose Gaussian curvature $K$ satisfies $K...