13 citations · 63 across the 35 of their papers we have counts for
4 papers · 1 filter
Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations
Fabrice Baudoin, Erlend Grong
We prove transverse Weitzenböck identities for the horizontal Laplacians of a totally geodesic foliation. As a consequence, we obtain nullity theorems for the de Rham cohomology as…
A Lichnerowicz estimate for the spectral gap of the sub-Laplacian
Stine Marie Berge, Erlend Grong
For a second order operator on a compact manifold satisfying the strong Hörmander condition, we give a bound for the spectral gap analogous to the Lichnerowicz estimate for the Lap…
Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations
Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada +1
We develop a variational theory of geodesics for the canonical variation of the metric of a totally geodesic foliation. As a consequence, we obtain comparison theorems for the hori…
Asymptotic expansions of holonomy
Erlend Grong, Pierre Pansu
Given a principal bundle with a connection, we look for an asymptotic expansion of the holonomy of a loop in terms of its length. This length is defined relative to some Riemannian…