For n≥3, any short immersion of an n-dimensional domain into R^{2n} can be uniformly approximated by C^{1,θ} isometric immersions with θ close to 1/n in odd dimensions and 1/(n+1) in even dimensions.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
A Nash-Kuiper theorem for isometric immersions in a high codimension
For n≥3, any short immersion of an n-dimensional domain into R^{2n} can be uniformly approximated by C^{1,θ} isometric immersions with θ close to 1/n in odd dimensions and 1/(n+1) in even dimensions.