**Contemporary Mathematics**

Volume: 101;
1990;
338 pp;
Softcover

MSC: Primary 32; 53; 58;

Print ISBN: 978-0-8218-5107-4

Product Code: CONM/101

List Price: $59.00

Individual Member Price: $47.20

**Electronic ISBN: 978-0-8218-7689-3
Product Code: CONM/101.E**

List Price: $59.00

Individual Member Price: $47.20

# Recent Developments in Geometry

Share this page *Edited by *
*R.E. Greene; H. Choi; S.Y. Cheng*

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 well-attended 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

# Table of Contents

## Recent Developments in Geometry

- Contents ix10 free
- Preface xi12 free
- Some recent developments in Riemannian geometry 116 free
- Designer metrics on Riemannian manifolds 3146
- Open manifolds of nonnegative curvature 4762
- An extrinsic average variational method 5570
- The Dirichlet problem and Fatou's theorem for harmonic mappings on regular domains 7994
- New examples of singly-periodic minimal surfaces and their qualitative behavior 97112
- The Gauss curvature and Minkowski problems in space forms 107122
- Self-duality, twistor theory, its generalization and application 125140
- Spectral geometry of Riemannian manifolds 147162
- Eigenvalue asymptotics and their geometric applications 155170
- A lower bound for the number of isospectral surfaces 161176
- The conformal deformation equation and isospectral set of conformal metrics 165180
- Analytic torsion for group actions 179194
- Regularity of entropy for geodesic flows 191206
- Twistor and Gauss lifts of surfaces in four-manifolds 197212
- Affine differential geometry of complex hypersurfaces 233248
- Domains with noncompact automorphism groups 249264
- Affine approach to complex geometry 263278
- Compactification of complete Kähler-Einstein manifolds of finite volume 287302
- Topological types of isolated hypersurface singularities 303318
- Complex foliations 323338