03302nam 22006135 450 99641827770331620200819170828.03-030-55293-410.1007/978-3-030-55293-0(CKB)4100000011392498(DE-He213)978-3-030-55293-0(MiAaPQ)EBC6320236(PPN)258058943(EXLCZ)99410000001139249820200819d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierGlobal Riemannian Geometry: Curvature and Topology[electronic resource] /by Ana Hurtado, Steen Markvorsen, Maung Min-Oo, Vicente Palmer2nd ed. 2020.Cham :Springer International Publishing :Imprint: Birkhäuser,2020.1 online resource (VII, 121 p. 1 illus.) Advanced Courses in Mathematics - CRM Barcelona,2297-03043-030-55292-6 This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the study of scalar curvature rigidity and positive mass theorems using spinors and the Dirac operator It is intended for both graduate students and researchers. This second edition has been updated to include recent developments such as promising results concerning the geometry of exit time moment spectra and potential analysis in weighted Riemannian manifolds, as well as results pertaining to an early conjecture on the geometry of the scalar curvature and speculations on new geometric approaches to the Index Theorem.Advanced Courses in Mathematics - CRM Barcelona,2297-0304Global analysis (Mathematics)Manifolds (Mathematics)Differential geometryComplex manifoldsGlobal Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Manifolds and Cell Complexes (incl. Diff.Topology)https://scigraph.springernature.com/ontologies/product-market-codes/M28027Global analysis (Mathematics).Manifolds (Mathematics).Differential geometry.Complex manifolds.Global Analysis and Analysis on Manifolds.Differential Geometry.Manifolds and Cell Complexes (incl. Diff.Topology).514.74Hurtado Anaauthttp://id.loc.gov/vocabulary/relators/aut1005284Markvorsen Steenauthttp://id.loc.gov/vocabulary/relators/autMin-Oo Maungauthttp://id.loc.gov/vocabulary/relators/autPalmer Vicenteauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996418277703316Global Riemannian Geometry: Curvature and Topology2310995UNISA