{"product_id":"lectures-on-nonsmooth-differential-geometry-von-nicola-gigli-enrico-pasqualetto","title":"Lectures on Nonsmooth Differential Geometry","description":"\n                                \n                \u003cp\u003eThis book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces – known as RCD spaces – satisfying a synthetic lower Ricci curvature bound. Examples of the main topics covered include notions of Sobolev space on abstract metric measure spaces; normed modules, which constitute a convenient technical tool for the introduction of a robust differential structure in the nonsmooth setting; first-order differential operators and the corresponding functional spaces; the theory of heat flow and its regularizing properties, within the general framework of “infinitesimally Hilbertian” metric measure spaces; the RCD condition and its effects on the behavior of heat flow; and second-order calculus on RCD spaces. The book is mainly intended for young researchers seeking acomprehensive and fairly self-contained introduction to this active research field. The only prerequisites are a basic knowledge of functional analysis, measure theory, and Riemannian geometry.\u003c\/p\u003e\n                                \n                \u003cbr\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030386122\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030386153\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9783030386122","offer_id":32000491421789,"sku":"9783030386122","price":96.29,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783030386153","offer_id":39419585036381,"sku":"9783030386153","price":69.54,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/347fb2c6-01e9-4512-b9c2-9f71155723c0.jpg?v=1772169911","url":"https:\/\/shop.autorenwelt.de\/en\/products\/lectures-on-nonsmooth-differential-geometry-von-nicola-gigli-enrico-pasqualetto","provider":"Autorenwelt Shop","version":"1.0","type":"link"}