Abstract
In order to develop a second-order differential calculus on spaces with curvature bounds we need to make use of the regularising effects of the heat flow, to which this chapter is dedicated.
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References
Ambrosio, L., Gigli, N., Savaré, G.: Gradient flows in metric spaces and in the space of probability measures. In: Lectures in Mathematics ETH Zürich, 2nd edn. Birkhäuser Verlag, Basel (2008)
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)
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Gigli, N., Pasqualetto, E. (2020). Heat Flow on Metric Measure Spaces. In: Lectures on Nonsmooth Differential Geometry. SISSA Springer Series, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-030-38613-9_5
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DOI: https://doi.org/10.1007/978-3-030-38613-9_5
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Online ISBN: 978-3-030-38613-9
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