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math.DG2013★ 4 cited
-convexity and the curvature-dimension condition for negative
Shin-ichi Ohta
We extend the range of to negative values in the -convexity (in the sense of Erbar--Kuwada--Sturm), the weighted Ricci curvature and the curvature-dimension cond…
math.DG2013★ 1 cited
On the curvature and heat flow on Hamiltonian systems
Shin-ichi Ohta
We develop the differential geometric and geometric analytic studies of Hamiltonian systems. Key ingredients are the curvature operator, the weighted Laplacian, and the associated…