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A horizontal Chern-Gauss-Bonnet formula on totally geodesic foliations
Fabrice Baudoin, Erlend Grong, Gianmarco Vega-Molino · 2021-06-30 · via math.PR updates on arXiv.org

Under suitable conditions, we show that the Euler characteristic of a foliated Riemannian manifold can be computed only from curvature invariants which are transverse to the leaves. Our proof uses the hypoelliptic sub-Laplacian on forms recently introduced by two of the authors.

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