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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… Click to show full 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).
Keywords:
gauss bonnet;
bonnet formula;
totally geodesic;
chern gauss;
formula totally;
horizontal chern
Journal Title: Annals of Global Analysis and Geometry
Year Published: 2022
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Journal Title: Annals of Global Analysis and Geometry
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!