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math.CA2012★ 21 cited
On some knot energies involving Menger curvature
Paweł Strzelecki, Marta Szumańska, Heiko von der Mosel
We investigate knot-theoretic properties of geometrically defined curvature energies such as integral Menger curvature. Elementary radii-functions, such as the circumradius of thre…
math.CA2012★ 19 cited
Characterizing ~submanifolds by -integrability of global curvatures
Sławomir Kolasiński, Paweł Strzelecki, Heiko von der Mosel
We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed manifold of class and of arbitrary dimension and codimen…