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math.DG2009
Perelman's entropy and doubling property on Riemannian manifolds
Fabrice Baudoin, Nicola Garofalo
The purpose of this work is to study some monotone functionals of the heat kernel on a complete Riemannian manifold with nonnegative Ricci curvature. In particular, we show that on…
math.DG2009★ 24 cited
Generalized Bochner formulas and Ricci lower bounds for sub-Riemannian manifolds of rank two
Fabrice Baudoin, Nicola Garofalo
We study a new class of rank two sub-Riemannian manifolds encompassing Riemannian manifolds, CR manifolds with vanishing Webster-Tanaka torsion, orthonormal bundles over Riemannian…