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Differential Geometry: Partial Differential Equations on Manifolds, Part 1
About this Title
Robert E. Greene and Shing-Tung Yau, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
1993; Volume 54.1
ISBNs: 978-0-8218-1494-9 (print); 978-0-8218-9352-4 (online)
DOI: https://doi.org/10.1090/pspum/054.1
Table of Contents
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Front/Back Matter
Articles
- Shing-Tung Yau – Open problems in geometry [MR 1216573]
- Fred Almgren – Questions and answers about area-minimizing surfaces and geometric measure theory [MR 1216574]
- David Bao and Tudor Ratiu – On the geometrical origin and the solutions of a degenerate Monge-Ampère equation [MR 1216575]
- Roger W. Brockett – Differential geometry and the design of gradient algorithms [MR 1216576]
- Yuan-Jen Chiang – Spectral geometry of $V$-manifolds and its application to harmonic maps [MR 1216577]
- Hyeong In Choi and Andrejs Treibergs – Constructing harmonic maps into the hyperbolic space [MR 1216578]
- Dennis DeTurck and Wolfgang Ziller – Spherical minimal immersions of spherical space forms [MR 1216579]
- Josef Dorfmeister – Banach manifolds of solutions to nonlinear partial differential equations, and relations with finite-dimensional manifolds [MR 1216580]
- Robert Hardt – Some new harmonic maps [MR 1216581]
- Joel Hass, Jon T. Pitts and J. H. Rubinstein – Existence of unstable minimal surfaces in manifolds with homology and applications to triply periodic minimal surfaces [MR 1216582]
- Wu-Yi Hsiang – Closed minimal submanifolds in the spheres [MR 1216583]
- Gerhard Huisken – Local and global behaviour of hypersurfaces moving by mean curvature [MR 1216584]
- Tom Ilmanen – The level-set flow on a manifold [MR 1216585]
- Jürgen Jost – Unstable solutions of two-dimensional geometric variational problems [MR 1216586]
- Jürgen Jost and Shing-Tung Yau – Harmonic maps and superrigidity [MR 1216587]
- Atsushi Kasue – Harmonic functions of polynomial growth on complete manifolds [MR 1216588]
- Nick Korevaar and Rob Kusner – The structure of constant mean curvature embeddings in Euclidean three space [MR 1216589]
- Zhongyuan Li – Uniformization of spherical CR manifolds and the CR Yamabe problem [MR 1216590]
- Peter Li – The theory of harmonic functions and its relation to geometry [MR 1216591]
- Yan Yan Li and Gang Tian – Harmonic maps with prescribed singularities [MR 1216592]
- Fang-Hua Lin – Some recent results on harmonic maps to spheres [MR 1216593]
- William H. Meeks, III – The geometry, topology, and existence of periodic minimal surfaces [MR 1216594]
- Frank Morgan – Soap films and mathematics [MR 1216595]
- Libin H. Mou – Uniform boundary regularity estimates for minima of certain quadratic functionals [MR 1216596]
- Vladimir Oliker – Self-similar solutions and asymptotic behavior of flows of nonparametric surfaces driven by Gauss or mean curvature [MR 1216597]
- P. L. Robinson – A report on geometric quantization [MR 1216598]
- Jean E. Taylor – Motion of curves by crystalline curvature, including triple junctions and boundary points [MR 1216599]
- Chuu-Lian Terng – Recent progress in submanifold geometry [MR 1216600]
- Per Tomter – Constant mean curvature surfaces in the Heisenberg group [MR 1216601]
- Henry C. Wente – Complete immersions of constant mean curvature [MR 1216602]
- Hongyou Wu – Banach manifolds of minimal surfaces in the $4$-sphere [MR 1216603]
- Stephen Zheng – On the isolatedness for the solutions of Plateau’s problem [MR 1216604]