Global Riemannian Geometry: Curvature and Topology (Advanced Courses in Mathematics - Crm Barcelona)
Current price:
$29.99
Publication Date: August 20th, 2020
Publisher:
Birkhauser
ISBN:
9783030552923
Pages:
121
Usually Ships in 1 to 5 Days
Description
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.
Other Books in Series
Kolmogorov Equations for Stochastic Pdes (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Geometry and Dynamics of Integrable Systems (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Algorithmic and Geometric Topics Around Free Groups and Automorphisms (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Compactifying Moduli Spaces (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Limit Cycles of Differential Equations (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Contemporary Cryptology (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Group-Based Cryptography (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Homotopy Theoretic Methods in Group Cohomology (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Building Bridges Between Algebra and Topology (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Mean Curvature Flow and Isoperimetric Inequalities (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Variable Lebesgue Spaces and Hyperbolic Systems (Advanced Courses in Mathematics - Crm Barcelona #27)
Paperback
Simplicial Methods for Operads and Algebraic Geometry (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Central Configurations, Periodic Orbits, and Hamiltonian Systems (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Symplectic Geometry of Integrable Hamiltonian Systems (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Ramsey Methods in Analysis (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Crossed Products of C*-Algebras, Topological Dynamics, and Classification (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
An Introduction to Piecewise Smooth Dynamics (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension (Advanced Courses in Mathematics - Crm Barcelona)
Paperback
Hyperbolic Cross Approximation (Advanced Courses in Mathematics - Crm Barcelona)
Paperback