Mathematics – Geometric Topology
Scientific paper
2008-01-25
Proc. Amer. Math. Soc. 139 (2011), no. 4, 1511-1519
Mathematics
Geometric Topology
10 pages, 3 figures
Scientific paper
10.1090/S0002-9939-2010-10603-2
We derive an integral formula for the linking number of two submanifolds of
the n-sphere S^n, of the product S^n x R^m, and of other manifolds which appear
as "nice" hypersurfaces in Euclidean space. The formulas are geometrically
meaningful in that they are invariant under the action of the special
orthogonal group on the ambient space.
Shonkwiler Clayton
Vela-Vick David Shea
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