Variations of Weyl’s Tube Formula
AbstractIn 1939 Weyl showed that the volume of spherical tubes around compact submanifolds M of Euclidean space depends solely on the induced Riemannian metric on M. Can this intrinsic nature of the tube volume be preserved for tubes with more general cross sections $$\mathbb {D}$$ D than the round ball? Under sufficiently strong symmetry conditions on $$\mathbb {D}$$ D the answer turns out to be yes.
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