We study isometric embeddings of C2 Riemannian manifolds in the Euclidean space and we establish that the Hölder space C1,12is critical in a suitable sense: in particular we prove that for α >12 the Levi-Civita connection of any isometric immersion is induced by the Euclidean connection, whereas for any α <12 we construct C1,α isometric embeddings of portions of the standard 2-dimensional sphere for which such property fails
AbstractIsometric immersions with parallel pluri-mean curvature (“ppmc”) in euclidean n-space genera...
summary:We will prove that if an open subset of $\mathbb{C}{}P^{n}$ is isometrically immersed into $...
AbstractA famous theorem due to Nash assures that every Riemannian manifold can be embedded isometri...
Let Σ be a hypersurface in an n-dimensional Riemannian manifold M, n≥2. We study the isometric exten...
AbstractA famous theorem due to Nash assures that every Riemannian manifold can be embedded isometri...
Abstract. The objective of this paper is to present a new Riemannian obstruction to minimal isometri...
All minimal isometric immersions of a Riemannian manifold M into a round sphere arise from eigenfunc...
In [12] Petrunin proves that a compact metric space X admits an intrinsic isometry into En if and on...
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...
The topic about isometric embeddings between two Riemannian manifolds is classic. In particular, let...
AbstractA statistical manifold (M, g, ▿) is a Riemannian manifold (M, g) equipped with torsion-free ...
We seek isometric immersions of $\mathrm{E}^{2} $ into $\mathrm{E}^{4} $. We hope to find them all b...
AbstractIsometric immersions with parallel pluri-mean curvature (“ppmc”) in euclidean n-space genera...
summary:We will prove that if an open subset of $\mathbb{C}{}P^{n}$ is isometrically immersed into $...
AbstractA famous theorem due to Nash assures that every Riemannian manifold can be embedded isometri...
Let Σ be a hypersurface in an n-dimensional Riemannian manifold M, n≥2. We study the isometric exten...
AbstractA famous theorem due to Nash assures that every Riemannian manifold can be embedded isometri...
Abstract. The objective of this paper is to present a new Riemannian obstruction to minimal isometri...
All minimal isometric immersions of a Riemannian manifold M into a round sphere arise from eigenfunc...
In [12] Petrunin proves that a compact metric space X admits an intrinsic isometry into En if and on...
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...
The topic about isometric embeddings between two Riemannian manifolds is classic. In particular, let...
AbstractA statistical manifold (M, g, ▿) is a Riemannian manifold (M, g) equipped with torsion-free ...
We seek isometric immersions of $\mathrm{E}^{2} $ into $\mathrm{E}^{4} $. We hope to find them all b...
AbstractIsometric immersions with parallel pluri-mean curvature (“ppmc”) in euclidean n-space genera...
summary:We will prove that if an open subset of $\mathbb{C}{}P^{n}$ is isometrically immersed into $...
AbstractA famous theorem due to Nash assures that every Riemannian manifold can be embedded isometri...
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