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Differential Geometry: Partial Differential Equations on Manifolds
Edited by:
Robert Greene
Available Formats:
Hardcover ISBN: 9780821814949
Product Code: PSPUM/54.1
List Price: $121.00
MAA Member Price: $108.90
AMS Member Price: $96.80
Electronic ISBN: 9780821893524
Product Code: PSPUM/54.1.E
List Price: $114.00
MAA Member Price: $102.60
AMS Member Price: $91.20
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
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Differential Geometry: Partial Differential Equations on Manifolds
Edited by:
Robert Greene
Available Formats:
Hardcover ISBN:  9780821814949 
Product Code:  PSPUM/54.1 
List Price:  $121.00 
MAA Member Price:  $108.90 
AMS Member Price:  $96.80 
Electronic ISBN:  9780821893524 
Product Code:  PSPUM/54.1.E 
List Price:  $114.00 
MAA Member Price:  $102.60 
AMS Member Price:  $91.20 
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 54; 1993; 560 ppMSC: Primary 49; 53; 58;This item is also available as part of a set:

Table of Contents

Articles

ShingTung Yau  Open problems in geometry [ MR 1216573 ]

Fred Almgren  Questions and answers about areaminimizing surfaces and geometric measure theory [ MR 1216574 ]

David Bao and Tudor Ratiu  On the geometrical origin and the solutions of a degenerate MongeAmpère equation [ MR 1216575 ]

Roger W. Brockett  Differential geometry and the design of gradient algorithms [ MR 1216576 ]

YuanJen 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 finitedimensional 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 ]

WuYi 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 levelset flow on a manifold [ MR 1216585 ]

Jürgen Jost  Unstable solutions of twodimensional geometric variational problems [ MR 1216586 ]

Jürgen Jost and ShingTung 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 ]

FangHua 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  Selfsimilar 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 ]

ChuuLian 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 ]


RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
Volume: 54; 1993; 560 pp
MSC: Primary 49; 53; 58;
This item is also available as part of a set:

Articles

ShingTung Yau  Open problems in geometry [ MR 1216573 ]

Fred Almgren  Questions and answers about areaminimizing surfaces and geometric measure theory [ MR 1216574 ]

David Bao and Tudor Ratiu  On the geometrical origin and the solutions of a degenerate MongeAmpère equation [ MR 1216575 ]

Roger W. Brockett  Differential geometry and the design of gradient algorithms [ MR 1216576 ]

YuanJen 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 finitedimensional 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 ]

WuYi 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 levelset flow on a manifold [ MR 1216585 ]

Jürgen Jost  Unstable solutions of twodimensional geometric variational problems [ MR 1216586 ]

Jürgen Jost and ShingTung 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 ]

FangHua 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  Selfsimilar 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 ]

ChuuLian 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 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.