**AMS/IP Studies in Advanced Mathematics**

Volume: 29;
2002;
237 pp;
Softcover

MSC: Primary 34; 47; 76; 70;

Print ISBN: 978-0-8218-3294-3

Product Code: AMSIP/29

List Price: $72.00

Individual Member Price: $57.60

**Electronic ISBN: 978-1-4704-3818-0
Product Code: AMSIP/29.E**

List Price: $72.00

Individual Member Price: $57.60

# Geometry and Nonlinear Partial Differential Equations

Share this page *Edited by *
*Shuxing Chen; S.-T. Yau*

A co-publication of the AMS and International Press of Boston, Inc.

This book presents the proceedings of a conference on geometry and
nonlinear partial differential equations dedicated to Professor Buqing Su in
honor of his one-hundredth birthday. It offers a look at current research by
Chinese mathematicians in differential geometry and geometric areas of
mathematical physics.

It is suitable for advanced graduate students and research mathematicians
interested in geometry, topology, differential equations, and mathematical
physics.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

#### Table of Contents

# Table of Contents

## Geometry and Nonlinear Partial Differential Equations

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- The address on the celebration for the 100th birthday of Professor Su Buqing 112
- A property of Kähler-Ricci solitons on complete complex surfaces 516
- Propagation of singularities in compressible viscous fluids 1324
- The Landau-Lifshitz equation and its gauge equivalent structure 2738
- General flattened Jaffe models for galaxies 3142
- Scattering matrices and geodesics of locally symmetric spaces 3950
- A note on enumerating rational curves in a K3 surface 5364
- Multi-phase computations of the semiclassical limit of the Schrödinger equation 6374
- Towards a mirror principle for higher genus 7788
- Vortices in two-dimensional Bose-Einstein condensates 8798
- Sample path properties of Gaussian processes 115126
- Wavelets on the Heisenberg group 123134
- On complete submanifolds with parallel mean curvature vector 133144
- Triple covers on smooth algebraic varieties 143154
- Osculating CR manifolds by nilpotent Lie groups in the theory of several complex variables 165176
- Dynamics of commuting holomorphic maps 175186
- Different behaviour for the solutions of 1-dimensional chemotaxis model with exponential growth 181192
- Some progress in classical general relativity 191202
- Long shock for supersonic flow past a curved cone 207218
- A compactness theorem for Yang-Mills connections 217228
- The positive mass theorem in general relativity 227238
- Extension theorems for special holomorphic functions 235246
- Back Cover Back Cover1250

#### Readership

Graduate students and research mathematicians interested in geometry, topology, differential equations, and mathematical physics.