Smooth actions of 𝑅ⁿ

Schwartzman, Sol

doi:10.1090/S0002-9939-05-08195-5

Smooth actions of $R^n$
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Proc. Amer. Math. Soc. 134 (2006), 379-384 Request permission

Abstract:

Given a smooth action of $R^n$ on a $k$-dimensional differentiable manifold $M^k$, for each $0\le r\le k$ we associate with “almost all" oriented orbits of dimension $r$ an element of $H_r(M^k,R)$.

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