Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896606 | Journal of Functional Analysis | 2018 | 27 Pages |
Abstract
Within the Î2-calculus of Bakry and Ledoux, we define the Ricci tensor induced by a diffusion operator, we deduce precise formulas for its behavior under drift transformation, time change and conformal transformation, and we derive new transformation results for the curvature-dimension conditions of Bakry-Ãmery as well as for those of Lott-Sturm-Villani. Our results are based on new identities and sharp estimates for the N-Ricci tensor and for the Hessian. In particular, we obtain Bochner's formula in the general setting.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Karl-Theodor Sturm,