Nonsmooth Differential Geometry: An Approach Tailored for Spaces with Ricci Curvature Bounded from Below

Nonsmooth Differential Geometry: An Approach Tailored for Spaces with Ricci Curvature Bounded from Below

Gigli, Nicola

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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.

  • ISBN: 9781470427658
  • Editorial: AMERICAN MATHEMATICAL SOCIETY
  • Encuadernacion: Rústica
  • Páginas: 161
  • Fecha Publicación: 01/01/2018
  • Nº Volúmenes: 1
  • Idioma: