The author discusses in which sense general metric measure spaces possess a first order differential structure. Building on this, spaces with Ricci curvature bounded from below a second order calculus can be developed, permitting the author to define Hessian, covariant/exterior derivatives and Ricci curvature.
Reihe
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Verlagsort
Zielgruppe
Für Beruf und Forschung
Für höhere Schule und Studium
Maße
Höhe: 254 mm
Breite: 178 mm
Gewicht
ISBN-13
978-1-4704-2765-8 (9781470427658)
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Schweitzer Klassifikation
Nicola Gigli, SISSA, Trieste, Italy.
Introduction
The machinery of $L^p(\mathfrak{m})$-normed modules
First order differential structure of general metric measure spaces
Second order differential structure of $\mathsf{RCD}(K,\infty)$ spaces
Bibliography
