48 citations · 201 across the 22 of their papers we have counts for
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Global Nash-Kuiper theorem for compact manifolds
Wentao Cao, László Székelyhidi
We obtain global extensions of the celebrated Nash-Kuiper theorem for isometric immersions of compact manifolds with optimal Hölder exponent. In particular for the Weyl p…
isometric extensions
Wentao Cao, László Székelyhidi
In this paper we consider the Cauchy problem for isometric immersions. More precisely, given a smooth isometric immersion of a codimension one submanifold we construct is…
A Nash-Kuiper theorem for immersions of surfaces in dimensions
Camillo De Lellis, Dominik Inauen, László Székelyhidi
We prove that, given a Riemannian metric on the -dimensional disk , any short immersion of into can be uniformly approximated with $…
h-Principle and Rigidity for Isometric Embeddings
Sergio Conti, Camillo De Lellis, László Székelyhidi
In this paper we study the embedding of Riemannian manifolds in low codimension. The well-known result of Nash and Kuiper says that any short embedding in codimension one can be un…