A Hopf Index Theorem for foliations

Details A Hopf Index Theorem for foliations A Hopf Index Theorem for foliations

2001-04-11

arxiv.org/abs/math/0104128v1

Diff. Geom. Appl. 18 (2003), no. 3, pp. 319-341.

Mathematics

Differential Geometry

26 pages

Scientific paper

We formulate and prove an analog of the Hopf Index Theorem for Riemannian
foliations. We compute the basic Euler characteristic of a closed Riemannian
manifold as a sum of indices of a non-degenerate basic vector field at critical
leaf closures. The primary tool used to establish this result is an adaptation
to foliations of the Witten deformation method.

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