Isometric immersions and applications
Qing Han, Marta Lewicka
TL;DR
This paper reviews the historical development and recent applications of isometric immersions, highlighting their significance in geometry, physics, and materials science.
Contribution
It offers a comprehensive overview of the evolution of isometric immersion theory and explores its diverse applications across multiple scientific fields.
Findings
Historical advances in isometric immersions
Applications in mathematical physics
Applications in materials science
Abstract
We provide an introduction to the old-standing problem of isometric immersions. We combine a historical account of its multifaceted advances, which have fascinated geometers and analysts alike, with some of the applications in the mathematical physics and mathematical materials science, old and new.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · History and Theory of Mathematics · Advanced Mathematical Modeling in Engineering