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math.DG2012★ 3 cited
The Poincaré Lemma in Subriemannian Geometry
Philipp Harms
This work is a short, self-contained introduction to subriemannian geometry with special emphasis on Chow's Theorem. As an application, a regularity result for the Poincaré Lemma i…
math.DG2012
Sobolev metrics on shape space of surfaces
Philipp Harms
Many procedures in science, engineering and medicine produce data in the form of geometric shapes. Mathematically, a shape can be modeled as an un-parameterized immersed sub-manifo…