"Proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 8-28, 1990"--T.p. verso.

Includes bibliographical references.

Open problems in geometry / Shing-Tung Yau -- Questions and answers about area-minimizing surfaces and geometric measure theory / Fred Almgren -- On the geometrical origin and the solutions of a degenerate Monge-Amp�ere equation / David Bao and Tudor Ratiu -- Differential geometry and the design of gradient algorithms / Roger W. Brockett -- Spectral geometry of $V$-manifolds and its application to harmonic maps / Yuan-Jen Chiang -- Constructing harmonic maps into the hyperbolic space / Hyeong In Choi and Andrejs Treibergs -- Spherical minimal immersions of spherical space forms / Dennis DeTurck and Wolfgang Ziller -- Banach manifolds of solutions to nonlinear partial differential equations, and relations with finite-dimensional manifolds / Josef Dorfmeister -- Some new harmonic maps / Robert Hardt -- Existence of unstable minimal surfaces in manifolds with homology and applications to triply periodic minimal surfaces / Joel Hass, Jon T. Pitts and J. H. Rubinstein -- Closed minimal submanifolds in the spheres / Wu-Yi Hsiang -- Local and global behaviour of hypersurfaces moving by mean curvature / Gerhard Huisken -- The level-set flow on a manifold / Tom Ilmanen -- Unstable solutions of two-dimensional geometric variational problems / J�urgen Jost -- Harmonic maps and superrigidity / J�urgen Jost and Shing-Tung Yau -- Harmonic functions of polynomial growth on complete manifolds / Atsushi Kasue -- The structure of constant mean curvature embeddings in Euclidean three space / Nick Korevaar and Rob Kusner -- Uniformization of spherical CR manifolds and the CR Yamabe problem / Zhongyuan Li -- The theory of harmonic functions and its relation to geometry / Peter Li -- Harmonic maps with prescribed singularities / Yan Yan Li and Gang Tian -- Some recent results on harmonic maps to spheres / Fang-Hua Lin -- The geometry, topology, and existence of periodic minimal surfaces / William H. Meeks, III -- Soap films and mathematics / Frank Morgan -- Uniform boundary regularity estimates for minima of certain quadratic functionals / Libin H. Mou -- Self-similar solutions and asymptotic behavior of flows of nonparametric surfaces driven by Gauss or mean curvature / Vladimir Oliker -- A report on geometric quantization / P. L. Robinson -- Motion of curves by crystalline curvature, including triple junctions and boundary points / Jean E. Taylor -- Recent progress in submanifold geometry / Chuu-Lian Terng -- Constant mean curvature surfaces in the Heisenberg group / Per Tomter -- Complete immersions of constant mean curvature / Henry C. Wente -- Banach manifolds of minimal surfaces in the $4$-sphere / Hongyou Wu -- On the isolatedness for the solutions of Plateau's problem / Stephen Zheng --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.