Nonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from below

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...

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Detalles Bibliográficos
Autor principal: Gigli, Nicola
Lenguaje:eng
Publicado: American Mathematical Society 2018
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2623207
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author Gigli, Nicola
author_facet Gigli, Nicola
author_sort Gigli, Nicola
collection CERN
description 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.
id cern-2623207
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
publisher American Mathematical Society
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spelling cern-26232072021-04-21T18:47:21Zhttp://cds.cern.ch/record/2623207engGigli, NicolaNonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from belowMathematical Physics and MathematicsThe 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.American Mathematical Societyoai:cds.cern.ch:26232072018
spellingShingle Mathematical Physics and Mathematics
Gigli, Nicola
Nonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from below
title Nonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from below
title_full Nonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from below
title_fullStr Nonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from below
title_full_unstemmed Nonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from below
title_short Nonsmooth differential geometry-an approach tailored for spaces with Ricci curvature bounded from below
title_sort nonsmooth differential geometry-an approach tailored for spaces with ricci curvature bounded from below
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2623207
work_keys_str_mv AT giglinicola nonsmoothdifferentialgeometryanapproachtailoredforspaceswithriccicurvatureboundedfrombelow

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