M. Gromov

activity

20102024

most citedGeneralizations of the Kolmogorov-Barzdin embedding estimates

21 citations · 97 across the 20 of their papers we have counts for

collaborators

Showing 2022 · math.DGShow all

4 papers · 2 filters

math.DG2022

Isometric Immersions with Controlled Curvatures

Misha Gromov

We $δ$ -approximate strictly short (e.g. constant) maps between Riemannin manifolds $f_{0} : X^{m} \to Y^{N}$ for $N >> m^{2} /2$ by $C^{\infty}$ -smooth isometric immersions $f_{δ} : X^{m} \to Y^{N}$ with c…

math.DG2022★ 2 cited

Curvature, Kolmogorov Diameter, Hilbert Rational Designs and Overtwisted Immersions

Misha Gromov

We prove the existence of locally distance increasing maps with it controllable small curvatures

math.DG2022

Convex Polytopes, Dihedral Angles, Mean Curvature and Scalar Curvature

Misha Gromov

We approximate boundaries of convex polytopes by smooth hypersurfaces $Y = Y_{ε}$ with {\it positive mean curvatures} and, by using basic geometric relations between the scal…

math.DG2022★ 3 cited

Scalar Curvature, Injectivity Radius and Immersions with Small Second Fundamental Forms

Misha Gromov

We prove in special cases the following. $∙_{S c}$ Bounds on the {\it injectivity radii} of "topologically complicated" Riemannian $n$ -manifolds $X$ , where the scalar curvatur…