Nonsmooth Differential Geometry-an Approach Tailored for Spaces with Ricci Curvature Bounded from Below

Nicola Gigli (Autor)

Buch | Softcover

161 Seiten

2018
American Mathematical Society (Verlag)
978-1-4704-2765-8 (ISBN)

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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.

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

Erscheinungsdatum	07.01.2018
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	255 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-2765-6 / 1470427656
ISBN-13	978-1-4704-2765-8 / 9781470427658
Zustand	Neuware