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math.GT2008★ 2 cited
Linking integrals in the n-sphere
Dennis DeTurck, Herman Gluck
Let K and L be disjoint closed oriented submanifolds of the n-sphere, with dimensions adding up to n-1. We define a map from their join K*L to the n-sphere whose degree up to sign…
math.GT2004★ 10 cited
The Gauss linking integral on the 3-sphere and in hyperbolic 3-space
Dennis DeTurck, Herman Gluck
We introduce here explicit integral formulas for linking, twisting, writhing and helicity on the 3-sphere and in hyperbolic 3-space. These formulas, like their prototypes in Euclid…