Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130: Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130)
By James Eells and Andrea Ratto
()
About this ebook
The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications.
The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.
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Titles in the series (100)
Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81 Rating: 0 out of 5 stars0 ratingsSmoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 Rating: 5 out of 5 stars5/5Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89 Rating: 0 out of 5 stars0 ratingsEntire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 Rating: 0 out of 5 stars0 ratingsRecent Developments in Several Complex Variables. (AM-100), Volume 100 Rating: 0 out of 5 stars0 ratingsBraids, Links, and Mapping Class Groups. (AM-82), Volume 82 Rating: 0 out of 5 stars0 ratingsStrong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 Rating: 0 out of 5 stars0 ratingsAutomorphic Forms on Adele Groups. (AM-83), Volume 83 Rating: 0 out of 5 stars0 ratingsAdvances in the Theory of Riemann Surfaces. (AM-66), Volume 66 Rating: 0 out of 5 stars0 ratingsScattering Theory for Automorphic Functions. (AM-87), Volume 87 Rating: 0 out of 5 stars0 ratingsKnots, Groups and 3-Manifolds (AM-84), Volume 84: Papers Dedicated to the Memory of R.H. Fox. (AM-84) Rating: 0 out of 5 stars0 ratingsCharacteristic Classes. (AM-76), Volume 76 Rating: 5 out of 5 stars5/5K-Theory of Forms. (AM-98), Volume 98 Rating: 0 out of 5 stars0 ratingsHyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 Rating: 0 out of 5 stars0 ratingsInfinite Loop Spaces (AM-90), Volume 90: Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) Rating: 0 out of 5 stars0 ratingsFoundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 Rating: 0 out of 5 stars0 ratingsSeminar on Micro-Local Analysis. (AM-93), Volume 93 Rating: 0 out of 5 stars0 ratingsThe Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 Rating: 0 out of 5 stars0 ratingsOn Knots. (AM-115), Volume 115 Rating: 4 out of 5 stars4/5C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 Rating: 0 out of 5 stars0 ratingsArithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 Rating: 0 out of 5 stars0 ratingsDifferential Systems and Isometric Embeddings.(AM-114), Volume 114 Rating: 3 out of 5 stars3/5Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 Rating: 0 out of 5 stars0 ratingsSeminar on Differential Geometry. (AM-102), Volume 102 Rating: 0 out of 5 stars0 ratingsRiemann Surfaces and Related Topics (AM-97), Volume 97: Proceedings of the 1978 Stony Brook Conference. (AM-97) Rating: 0 out of 5 stars0 ratingsFunctional Integration and Partial Differential Equations. (AM-109), Volume 109 Rating: 0 out of 5 stars0 ratingsEtale Homotopy of Simplicial Schemes. (AM-104), Volume 104 Rating: 1 out of 5 stars1/5Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101 Rating: 0 out of 5 stars0 ratingsSeminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 Rating: 3 out of 5 stars3/5
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