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math.DG2014
Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations, Part I
Erlend Grong, Anton Thalmaier
We give a generalized curvature-dimension inequality connecting the geometry of sub-Riemannian manifolds with the properties of its sub-Laplacian. This inequality is valid on a lar…
math.DG2014★ 2 cited
Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations, Part II
Erlend Grong, Anton Thalmaier
Using the curvature-dimension inequality proved in Part~I, we look at consequences of this inequality in terms of the interaction between the sub-Riemannian geometry and the heat s…