Short-time behavior of the heat kernel and Weyl’s law on $${{\mathrm{RCD}}}^*(K,N)$$ RCD ∗ ( K , N ) spaces

Author:

Ambrosio LuigiORCID,Honda Shouhei,Tewodrose David

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference57 articles.

1. Ambrosio, L., Colombo, M., Di Marino, S.: Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Adv. Stud. Pure Math. 67, 1–58 (2015)

2. Ambrosio, L., Gigli, N., Savaré, G.: Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Invent. Math. 195, 289–391 (2014)

3. Ambrosio, L., Gigli, N., Savaré, G.: Metric measure spaces with Riemannian Ricci curvature bounded from below. Duke Math. J. 163, 1405–1490 (2014)

4. Ambrosio, L., Gigli, N., Savaré, G.: Bakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Ann. Probab. 43, 339–404 (2015)

5. Ambrosio, L., Honda, S.: New stability results for sequences of metric measure spaces with uniform Ricci bounds from below. In: Gigli, N. (ed.) To Appear as a Chapter in Measure Theory in Non-smooth Spaces. De Gruyter Press. Preprint arXiv:1605.07908

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