Contemporary Mathematics 1990; 338 pp; softcover Volume: 101 ISBN10: 0821851071 ISBN13: 9780821851074 List Price: US$56 Member Price: US$44.80 Order Code: CONM/101
 This volume is the outgrowth of a Special Session on Geometry, held at the November 1987 meeting of the AMS at the University of California at Los Angeles. The unusually wellattended session attracted more than sixty participants and featured over forty addresses by some of the day's outstanding geometers. By common consent, it was decided that the papers to be collected in the present volume should be surveys of relatively broad areas of geometry, rather than detailed presentations of new research results. A comprehensive survey of the field is beyond the scope of a volume such as this. Nonetheless, the editors have sought to provide all geometers, whatever their specialties, with some insight into recent developments in a variety of topics in this active area of research. Table of Contents  R. E. Greene  Some recent developments in Riemannian geometry
 R. Brooks  Designer metrics on Riemannian manifolds
 G. Walschap  Open manifolds of nonnegative curvature
 S. W. Wei  An extrinsic average variational method
 P. Aviles  The Dirichlet problem and Fatou's theorem for harmonic mappings on regular domains
 D. A. Hoffman  New examples of singlyperiodic minimal surfaces and their qualitative behavior
 V. I. Oliker  The Gauss curvature and Minkowski problems in space forms
 Y. S. Poon  Selfduality, twistor theory, its generalization and application
 P. B. Gilkey  Spectral geometry of Riemannian manifolds
 M. A. Pinsky  Eigenvalue asymptotics and their geometric applications
 R. M. Tse  A lower bound for the number of isospectral surfaces
 S.Y. A. Chang and P. C. Yang  The conformal deformation equation and isospectral set of conformal metrics
 J. Lott  Analytic torsion for group actions
 G. Knieper and H. Weiss  Regularity of entropy for geodesic flows
 G. R. Jensen and M. Rigoli  Twistor and Gauss lifts of surfaces in fourmanifolds
 W. Gao  Affine differential geometry of complex hypersurfaces
 K.T. Kim  Domains with noncompact automorphism groups
 S. Frankel  Affine approach to complex geometry
 N. Monk  Compactification of complete KählerEinstein manifolds of finite volume
 S. S.T. Yau  Topological types of isolated hypersurface singularities
 T. Duchamp and M. Kalka  Complex foliations
