A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations
Journal article, Peer reviewed
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Date
2022Metadata
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Original version
Annals of Global Analysis and Geometry. 2022, 61, 759-776. 10.1007/s10455-022-09827-3Abstract
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 in Baudoin and Grong (Ann Glob Anal Geom 56(2):403–428, 2019).