TY - JOUR
T1 - A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations
AU - Baudoin, Fabrice
AU - Grong, Erlend
AU - Vega-Molino, Gianmarco
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/6
Y1 - 2022/6
N2 - 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).
AB - 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).
UR - http://www.scopus.com/inward/record.url?scp=85124030451&partnerID=8YFLogxK
U2 - 10.1007/s10455-022-09827-3
DO - 10.1007/s10455-022-09827-3
M3 - Journal article
AN - SCOPUS:85124030451
SN - 0232-704X
VL - 61
SP - 759
EP - 776
JO - Annals of Global Analysis and Geometry
JF - Annals of Global Analysis and Geometry
IS - 4
ER -