Geometric measure theory provides a rigorous framework for studying and quantifying the properties of sets and surfaces in Euclidean spaces. This discipline blends techniques from differential ...
Motivation from physics: soap films, bubbles Minimal surfaces and their relatives: surfaces of prescribed mean curvature, almost minimizers, horizons in general relativity. All of that in manifolds of ...
Geometric analysis, at its core, integrates methods from differential geometry and partial differential equations to study the properties of spaces endowed with a notion of distance. Metric spaces, ...
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