Isometric Immersions with Controlled Curvatures

Misha Gromov

doi:10.56994/JAMR.001.001.001

Isometric Immersions with Controlled Curvatures

Misha Gromov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We δ-approximate strictly short (e.g. constant) maps between Riemannian manifolds f₀: X^m → Y^N for N ≫ m²/2 by C^∞-smooth isometric immersions f_δ: X^m → Y^N √ with curvatures curv( f_δ ) <₃ δ, for δ → 0.

Original language	English (US)
Pages (from-to)	1-15
Number of pages	15
Journal	Journal of the Association for Mathematical Research
Volume	1
Issue number	1
DOIs	https://doi.org/10.56994/JAMR.001.001.001
State	Published - Jul 21 2023

Keywords

global geometric and topological methods

ASJC Scopus subject areas

Algebra and Number Theory
Analysis
Discrete Mathematics and Combinatorics
Geometry and Topology

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10.56994/JAMR.001.001.001

Cite this

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title = "Isometric Immersions with Controlled Curvatures",

abstract = "We δ-approximate strictly short (e.g. constant) maps between Riemannian manifolds f0: Xm → YN for N ≫ m2/2 by C∞-smooth isometric immersions fδ: Xm → YN √ with curvatures curv( fδ ) <3 δ, for δ → 0.",

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author = "Misha Gromov",

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Isometric Immersions with Controlled Curvatures

Abstract

Keywords

ASJC Scopus subject areas

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