As an annual supplement to the Journal of Differential Geometry, Surveys in Differential
Geometry focuses on specific topics of current interest. Survey articles
review the current state of knowledge relating to particular questions and present
new integrative results. Surveys in Differential Geometry provides both a large
number of insightful and informative articles and an indispensable tool for keeping
up with the wide variety of researches in Differential Geometry.
The works included in this new volume, edited by Jeffrey Cheeger and Karsten Grove, treat important recent developments in metric geometry and comparison geometry. Both these areas are vital and expanding components of modern geometry.
Contents:
Collapsed Manifolds with Bounded Sectional Curvature and Applications Xiaochun Rong
Nonnegatively and Positively Curved Manifolds Burkhard Wilking
Examples of Manifolds with Non-negative Sectional Curvature Wolfgang Ziller
Perelman's Stability Theorem Vitali Kapovitch
Semiconcave Functions in Alexandrov's Geometry Anton Petrunin
Manifolds with a lower Ricci Curvature Bound Guofang We
Optimal Transport and Ricci Curvature for Metric-Measure Spaces John Lott
Manifolds of Positive Scalar Curvature: A Progress Report Jonathan Rosenberg
Spaces of Curvature Bounded Above S. Buyalo and V. Schroeder
Negative Curvature and Exotic Topology F.T. Farrell, L.E. Jones, and P. Ontaneda
Editors:
Jeffrey Cheeger, New York University Karsten Grove, University of Maryland
Surveys in Differential Geometry,
