Contemporary Mathematics 1992; 154 pp; softcover Volume: 127 ISBN10: 0821851357 ISBN13: 9780821851357 List Price: US$47 Member Price: US$37.60 Order Code: CONM/127
 This volume contains the proceedings of an AMS Special Session on Geometry, Physics, and Nonlinear PDEs, held in March 1990 at the AMS meeting in Fayetteville. In recent years, there has been an enormous surge of activity in these areas, and there was an overwhelming response to invitations to the session. The conference brought together specialists in MongeAmpere equations, prescribed curvature problems, mean curvature, harmonic maps, evolution with curvaturedependent speed, isospectral manifolds, and general relativity. Twentyfive halfhour addresses were presented at the session, and the majority of the papers in this volume are expositions of those addresses. The book provides an excellent overview of the frontiers of research in these areas. Table of Contents  J. K. Beem and P. E. Parker  Null directions and curvature
 P. Delanoe  Generalized stereographic projections with prescribed scalar curvature
 P. E. Ehrlich and G. G. Emch  The conjugacy index and simple astigmatic focusing
 M. E. Gage  On the size of the blowup set for a quasilinear parabolic equation
 S. I. Goldberg and D. Perrone  Contact \(3\)manifolds with positive scalar curvature
 B. Kawohl  Remarks on the operator div\((\nabla u/\nabla u)\)
 J. M. Lee  Finite inverse spectral geometry
 R. C. McOwen  Conformal metrics with singularities and finite negative total curvature on Riemann surfaces
 P. Li, A. Treibergs, and S. T. Yau  How to hear the volume of convex domains
 N. Uraltseva  Gradient estimates for solutions of nonlinear parabolic oblique boundary problem
 S. W. Wei  Liouville theorems and regularity of minimizing harmonic maps into superstrongly unstable manifolds
