A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations

Fabrice Baudoin, Erlend Grong*, Gianmarco Vega-Molino

*Corresponding author af dette arbejde

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Abstract

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).

OriginalsprogEngelsk
TidsskriftAnnals of Global Analysis and Geometry
Vol/bind61
Nummer4
Sider (fra-til)759-776
Antal sider18
ISSN0232-704X
DOI
StatusUdgivet - jun. 2022
Udgivet eksterntJa

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