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math.DG2018
The horizontal heat kernel on the quaternionic anti de-Sitter spaces and related twistor spaces
Fabrice Baudoin, Nizar Demni, Jing Wang
The geometry of the quaternionic anti-de Sitter fibration is studied in details. As a consequence, we obtain formulas for the horizontal Laplacian and subelliptic heat kernel of th…
math.DG2012★ 3 cited
Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds
Fabrice Baudoin, Jing Wang
We study curvature dimension inequalities for the sub-Laplacian on contact Riemannian manifolds. This new curvature dimension condition is then used to obtain: 1) Geometric conditi…