Manifolds with nonnegative sectional curvature

September 17 to September 21, 2007

at the

American Institute of Mathematics, San Jose, California

organized by

Kristopher Tapp and Wolfgang Ziller

Original Announcement

This workshop will be devoted to manifolds with nonnegative and positive curvature. Significant progress has been made recently following a program suggested by K. Grove that one should study this condition under the presence of a large isometry group. We will share recent developments and forge new progress on: Participants will together choose focused problems related to these topics, and particular methods for approaching them, and will then work together on these problems throughout the week.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.


A survey article Nonnegatively and Positively curved Manifolds, by Burkhard Wilking

Examples of manifolds with Nonnegative Curvature by Wolfgang Ziller

Perelman's Stability Theorem, by Vitali Kapovitch

Collapsed Riemannian Manifolds with Bounded Sectional Curvature by Xiaochun Rong

Geometry of, and via, symmetries, by Karsten Grove

On the geometry cohomogeneity one manifolds with positive curvature by Wolfgang Ziller

Semiconcave functions in Alexandrov's geometry by Anton Petrunin.

Papers arising from the workshop:

Submetries vs. submersions
by  Luis Guijarro and Gerard Walschap
Riemannian submersions from simple, compact Lie groups
by  Martin Kerin and Krishnan Shankar
Homogeneous Metrics with nonnegative curvature
by  Lorenz Schwachhöfer and Kristopher Tapp
Cohomogeneity one disk bundles with normal homogeneous collars
by  Lorenz Schwachhöfer and Kristopher Tapp
On 4-dimensional gradient shrinking solitons
by  Lei Ni and Nolan Wallach