Survey Articles in Riemannian Geometry

The papers in this volume were written by graduate students in the course Math 240, Riemannian Geometry, in the Spring Semester of 2000. The papers were revised by the authors after a reading by one other student and the instructor.

Each paper is either a survey of an area or a tutorial essay in a topic related to riemannian geometry. We hope that these papers will be useful for students and researchers interested in a quick look at several aspects of riemannian geometry and its applications.

- Alan Weinstein
The papers are in pdf format. 

A Survey of Inverse Spectral Results by Ivana Alexandrova

Differential Geometry on Generalizations of Grassmannians and Flag Manifolds in C*-algebras by Thomas Dorsey

Strings in AdS3 by Jarah Evslin

Geodesics in Riemannian Manifolds with Boundary by Jianghai Hu

Collapsing Riemannian Manifolds by Tamás Kálmán

(Kahler)-Ricci Flow on (Kahler) Manifolds by Gizem Karaali

Riemannian Manifolds with Integrable Geodesic Flows by Andrew Miller

Symmetric Submanifolds of Symmetric Spaces by Shankaran Viswanath

Complete Manifolds of Nonnegative Curvature by Marco Zambon

The Gauss-Bonnet Theorem and its Applications by Chenchang Zhu