12 citations · 37 across the 11 of their papers we have counts for
4 papers · 1 filter
Rigidity for the spectral gap on -spaces
Nicola Gigli, Christian Ketterer, Kazumasa Kuwada +1
We consider a rigidity problem for the spectral gap of the Laplacian on an -space (a metric measure space satisfying the Riemannian curvature-dimension condition) fo…
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…
On the Equivalence of the Entropic Curvature-Dimension Condition and Bochner's Inequality on Metric Measure Spaces
Matthias Erbar, Kazumasa Kuwada, Karl-Theodor Sturm
We prove the equivalence of the curvature-dimension bounds of Lott-Sturm-Villani (via entropy and optimal transport) and of Bakry--Émery (via energy and Γ_2$-calculus) in complete…
Heat flow on Alexandrov spaces
Nicola Gigli, Kazumasa Kuwada, Shin-ichi Ohta
We prove that on compact Alexandrov spaces with curvature bounded below the gradient flow of the Dirichlet energy in the -space produces the same evolution as the gradient flo…