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Geometric curvature energies: facts, trends, and open problems
[chapter]
2017
New Directions in Geometric and Applied Knot Theory
This survey focuses on geometric curvature functionals, that is, geometrically defined self-avoidance energies for curves, surfaces, or more general kdimensional sets in R d . Previous investigations of the authors and collaborators concentrated on the regularising effects of such energies, with a priori estimates in the regime above scale-invariance that allowed for compactness and variational applications for knotted curves and surfaces under topological restrictions. We briefly describe the
doi:10.1515/9783110571493-002
fatcat:suxf4lbq6rembov3en7wp4vxlq