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作者 Summer Research Institute on Differential Geometry (1990 : University of California, Los Angeles)
書名 Differential geometry [electronic resource] : partial differential equations on manifolds / Robert Greene, S.T. Yau, editors
出版項 Providence, R.I. : American Mathematical Society, [1993]
國際標準書號 9780821893524 (online)
0821893521 (online)
book jacket
說明 1 online resource (xxii, 560 pages) : illustrations
text rdacontent
computer rdamedia
online resource rdacarrier
系列 Proceedings of symposia in pure mathematics ; v. 54, pt. 1
Proceedings of symposia in pure mathematics ; v. 54, pt. 1
附註 "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-Ampère 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 / Jürgen Jost -- Harmonic maps and superrigidity / Jürgen 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 --
Description based on print version record
鏈接 Print version: Differential geometry. Providence, R.I. : American Mathematical Society, c1993 082181494X (DLC) 92032827 (OCoLC)456470968
主題 Differential equations, Partial -- Congresses
Complex manifolds -- Congresses
Harmonic maps -- Congresses
Electronic books
Alt Author Greene, Robert Everist, 1943- editor
Yau, Shing-Tung, 1949- editor
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