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101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aGlobal Riemannian Geometry: Curvature and Topology$b[electronic resource] /$fby Ana Hurtado, Steen Markvorsen, Maung Min-Oo, Vicente Palmer
205   $a2nd ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2020.
215   $a1 online resource (VII, 121 p. 1 illus.) 
225 1 $aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304
311   $a3-030-55292-6 
330   $aThis book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the study of scalar curvature rigidity and positive mass theorems using spinors and the Dirac operator It is intended for both graduate students and researchers. This second edition has been updated to include recent developments such as promising results concerning the geometry of exit time moment spectra and potential analysis in weighted Riemannian manifolds, as well as results pertaining to an early conjecture on the geometry of the scalar curvature and speculations on new geometric approaches to the Index Theorem.
410  0$aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aDifferential geometry
606   $aComplex manifolds
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aManifolds and Cell Complexes (incl. Diff.Topology)$3https://scigraph.springernature.com/ontologies/product-market-codes/M28027
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615  0$aDifferential geometry.
615  0$aComplex manifolds.
615 14$aGlobal Analysis and Analysis on Manifolds.
615 24$aDifferential Geometry.
615 24$aManifolds and Cell Complexes (incl. Diff.Topology).
676   $a514.74
700   $aHurtado$b Ana$4aut$4http://id.loc.gov/vocabulary/relators/aut$01005284
702   $aMarkvorsen$b Steen$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aMin-Oo$b Maung$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aPalmer$b Vicente$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996418277703316
996   $aGlobal Riemannian Geometry: Curvature and Topology$92310995
997   $aUNISA