Blar i Bergen Open Research Archive på forfatter "Baudoin, Fabrice"
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H-type foliations
Baudoin, Fabrice; Grong, Erlend; Rizzi, Luca; Vega-Molino, Gianmarco (Journal article; Peer reviewed, 2022)With a view toward sub-Riemannian geometry, we introduce and study H-type foliations. These structures are natural generalizations of K-contact geometries which encompass as special cases K-contact manifolds, twistor spaces, ... -
A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations
Baudoin, Fabrice; Grong, Erlend; Vega-Molino, Gianmarco (Journal article; Peer reviewed, 2022)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 ... -
Radial processes for sub-Riemannian Brownian motions and applications
Baudoin, Fabrice; Grong, Erlend; Kuwada, Kazumasa; Neel, Robert; Thalmaier, Anton (Journal article; Peer reviewed, 2020)We study the radial part of sub-Riemannian Brownian motion in the context of totally geodesic foliations. Itô’s formula is proved for the radial processes associated to Riemannian distances approximating the Riemannian ...