Description
The 1998-1999 program year of the Japan-U.S. Mathematics Institute at the Johns Hopkins University (Baltimore, MD) was devoted to minimal surfaces, geometric analysis, and symplectic geometry. The program culminated in a week-long workshop and conference to discuss recent developments. This volume is a collection of articles written by the speakers. It presents extended or modified versions of the lectures delivered at the meeting. Each article provides a vivid account of current research.The information given ranges from introductory-level to the most recent results. Of special interest is a long survey article by K. Fukaya on applications of Floer homology to mirror symmetry. Also discussed are new developments on the geometry of constant mean curvature one surfaces in hyperbolic 3-spaces of finite total curvature. The range of topics covered in the volume provides direction for further research in these rapidly developing areas. The book is suitable for graduate students and researchers interested in differential and symplectic geometry.
Table of Contents
Volume minimizing hypersurfaces in manifolds of nonnegative scalar curvature by M. Cai The Gaussian image of mean curvature one surfaces in $\mathbb{H}^3$ of finite total curvature by P. Collin, L. Hauswirth, and H. Rosenberg Behavior of eigenfunctions near the ideal boundary of hyperbolic space by H. Donnelly Floer homology and mirror symmetry II by K. Fukaya Solution to the shadow problem in 3-space by M. Ghomi On 4-dimensional CR-submanifolds of a 6-dimensional sphere by H. Hashimoto, K. Mashimo, and K. Sekigawa On isotropic minimal surfaces in Euclidean space by M. Kokubu The topology of toric hyper-Kahler manifolds by H. Konno Cyclic hypersurfaces of constant curvature by R. Lopez A generalized height estimate for H-graphs, Serrin's corner lemma, and applications to a conjecture of Rosenberg by J. McCuan Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds by J. Masamune and W. Rossman Brieskorn manifolds and metrics of positive scalar curvature by H. Ohta Space of geodesics on Zoll three-spheres by K. Ono Constant mean curvature 1 surfaces with low total curvature in hyperbolic 3-space by W. Rossman, M. Umehara, and K. Yamada A note on the symplectic volume of the moduli space of spatial polygons by T. Takakura.
by "Nielsen BookData"