Blar i Department of Mathematics 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 ...