Add to ORKGAbstract. Any compact Riemann surface has a conformal model in any orientable Riemannian manifold. Precisely, we will prove that, given any compact Riemann surface, there is a conformally equivalent model in a pre-specified orientable Riemannian manifold. The techniques we use includ
Sur une surface de Riemann, l'énergie d'une application à valeurs dans une variété riemannienne est ...
After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemann...
A conformal transformation is a diffeomorphism which preserves angles; the differential at each poin...
We will assume that all the manifolds M are compact and orientable unless otherwise stated. In this ...
We provide a simpler proof and slight strengthening of Morrey's famous lemma on $ \varepsilon $-con...
On a Riemannian surface, the energy of a map into a Riemannian manifold is a conformal invariant fun...
In this short note, we announce a result relating the geometry of a riemannian surface to the positi...
We present a new variational proof of the well-known fact that every Riemannian metric on a two-dime...
We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the ...
§Ⅰ. Introduction The purpose of this paper is to present a proof of the theorem below, announced in ...
This article is dedicated to solving the Einstein constraint equations with apparent horizon boundar...
Another formulation of the existence theorem of canonical (meromorphic) functions on open Riemann su...
A conformally flat manifold (C.F. manifold for short) is a differentiable manifold together with an ...
We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the ...
Let (M,g) be a smooth compact Riemannian manifold of dimension n ≥ 3. A conformal metric to g is a m...
Sur une surface de Riemann, l'énergie d'une application à valeurs dans une variété riemannienne est ...
After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemann...
A conformal transformation is a diffeomorphism which preserves angles; the differential at each poin...
We will assume that all the manifolds M are compact and orientable unless otherwise stated. In this ...
We provide a simpler proof and slight strengthening of Morrey's famous lemma on $ \varepsilon $-con...
On a Riemannian surface, the energy of a map into a Riemannian manifold is a conformal invariant fun...
In this short note, we announce a result relating the geometry of a riemannian surface to the positi...
We present a new variational proof of the well-known fact that every Riemannian metric on a two-dime...
We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the ...
§Ⅰ. Introduction The purpose of this paper is to present a proof of the theorem below, announced in ...
This article is dedicated to solving the Einstein constraint equations with apparent horizon boundar...
Another formulation of the existence theorem of canonical (meromorphic) functions on open Riemann su...
A conformally flat manifold (C.F. manifold for short) is a differentiable manifold together with an ...
We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the ...
Let (M,g) be a smooth compact Riemannian manifold of dimension n ≥ 3. A conformal metric to g is a m...
Sur une surface de Riemann, l'énergie d'une application à valeurs dans une variété riemannienne est ...
After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemann...
A conformal transformation is a diffeomorphism which preserves angles; the differential at each poin...