Lectures on Immersions with Controlled Curvatures
Misha Gromov
TL;DR
This paper discusses the construction of immersions between Riemannian manifolds with controlled curvature bounds and explores the obstructions to their existence, contributing to the understanding of geometric embedding problems.
Contribution
It introduces methods for constructing immersions with small curvatures and identifies key obstructions, advancing the theory of Riemannian immersions.
Findings
Construction techniques for small-curvature immersions
Identification of obstructions to such immersions
Insights into geometric embedding limitations
Abstract
Construction of immersions with "small" curvatures between Riemannian manifolds and indicating obstructions to such immersions
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Nonlinear Partial Differential Equations