• 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 ...