TY - BOOK AU - Greene,Robert Everist AU - Yau,Shing-Tung ED - Summer Research Institute on Differential Geometry TI - Partial differential equations on manifolds T2 - Proceedings of symposia in pure mathematics, SN - 9780821893524 (online) AV - QA641QA614.9 .D3833 1993 pt. 1 U1 - 516.3/6 s515/.353 20 PY - 1993/// CY - Providence, R.I. PB - American Mathematical Society KW - Differential equations, Partial KW - Congresses KW - Complex manifolds KW - Harmonic maps N1 - "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 --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216573; Questions and answers about area-minimizing surfaces and geometric measure theory; Fred Almgren --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216574; On the geometrical origin and the solutions of a degenerate Monge-Amp�ere equation; David Bao and Tudor Ratiu --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216575; Differential geometry and the design of gradient algorithms; Roger W. Brockett --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216576; Spectral geometry of $V$-manifolds and its application to harmonic maps; Yuan-Jen Chiang --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216577; Constructing harmonic maps into the hyperbolic space; Hyeong In Choi and Andrejs Treibergs --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216578; Spherical minimal immersions of spherical space forms; Dennis DeTurck and Wolfgang Ziller --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216579; Banach manifolds of solutions to nonlinear partial differential equations, and relations with finite-dimensional manifolds; Josef Dorfmeister --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216580; Some new harmonic maps; Robert Hardt --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216581; 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 --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216582; Closed minimal submanifolds in the spheres; Wu-Yi Hsiang --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216583; Local and global behaviour of hypersurfaces moving by mean curvature; Gerhard Huisken --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216584; The level-set flow on a manifold; Tom Ilmanen --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216585; Unstable solutions of two-dimensional geometric variational problems; J�urgen Jost --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216586; Harmonic maps and superrigidity; J�urgen Jost and Shing-Tung Yau --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216587; Harmonic functions of polynomial growth on complete manifolds; Atsushi Kasue --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216588; The structure of constant mean curvature embeddings in Euclidean three space; Nick Korevaar and Rob Kusner --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216589; Uniformization of spherical CR manifolds and the CR Yamabe problem; Zhongyuan Li --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216590; The theory of harmonic functions and its relation to geometry; Peter Li --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216591; Harmonic maps with prescribed singularities; Yan Yan Li and Gang Tian --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216592; Some recent results on harmonic maps to spheres; Fang-Hua Lin --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216593; The geometry, topology, and existence of periodic minimal surfaces; William H. Meeks, III --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216594; Soap films and mathematics; Frank Morgan --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216595; Uniform boundary regularity estimates for minima of certain quadratic functionals; Libin H. Mou --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216596; Self-similar solutions and asymptotic behavior of flows of nonparametric surfaces driven by Gauss or mean curvature; Vladimir Oliker --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216597; A report on geometric quantization; P. L. Robinson --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216598; Motion of curves by crystalline curvature, including triple junctions and boundary points; Jean E. Taylor --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216599; Recent progress in submanifold geometry; Chuu-Lian Terng --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216600; Constant mean curvature surfaces in the Heisenberg group; Per Tomter --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216601; Complete immersions of constant mean curvature; Henry C. Wente --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216602; Banach manifolds of minimal surfaces in the $4$-sphere; Hongyou Wu --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216603; On the isolatedness for the solutions of Plateau's problem; Stephen Zheng --; http://www.ams.org/pspum/054.1; http://dx.doi.org/10.1090/pspum/054.1/1216604; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/pspum/054.1 UR - http://dx.doi.org/10.1090/pspum/054.1 ER -