TY  - BOOK
AU  - Hurtado,Ana
AU  - Markvorsen,Steen
AU  - Min-Oo,Maung
AU  - Palmer,Vicente
ED  - SpringerLink (Online service)
TI  - Global Riemannian Geometry: Curvature and Topology
T2  - Advanced Courses in Mathematics - CRM Barcelona,
SN  - 9783030552930
AV  - QA614-614.97 
U1  - 514.74 23
PY  - 2020///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Global analysis (Mathematics)
KW  - Manifolds (Mathematics)
KW  - Differential geometry
KW  - Complex manifolds
KW  - Global Analysis and Analysis on Manifolds
KW  - Differential Geometry
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
N2  - 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
UR  - https://doi.org/10.1007/978-3-030-55293-0
ER  -