Harmonic Maps and Minimal Immersions with Symmetries
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A01=Andrea Ratto
A01=James Eells
Arc length
Author_Andrea Ratto
Author_James Eells
Category=PBKJ
Category=PBMP
Category=PBP
Catenary
Clifford algebra
Codimension
Coefficient
Compact space
Complex projective space
Connected sum
Constant curvature
Corollary
Covariant derivative
Curvature
Cylinder (geometry)
Degeneracy (mathematics)
Diagram (category theory)
Differential equation
Differential geometry
Elliptic partial differential equation
Embedding
Energy functional
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Existence theorem
Existential quantification
Fiber bundle
Gauss map
Geometry
Geometry and topology
Gravitational field
Harmonic map
Hyperbola
Hyperplane
Hypersphere
Hypersurface
Integer
Iterative method
Levi-Civita connection
Lie group
Mathematics
Maximum principle
Mean curvature
Normal (geometry)
Numerical analysis
Open set
Ordinary differential equation
Parabola
Quadratic form
Sign (mathematics)
Special case
Stiefel manifold
Submanifold
Suggestion
Surface of revolution
Symmetry
Tangent bundle
Theorem
Vector bundle
Vector space
Vertical tangent
Winding number
Product details
- ISBN 9780691102498
- Weight: 340g
- Dimensions: 152 x 235mm
- Publication Date: 11 Apr 1993
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
James Eells is Professor of Mathematics at the University of Warwick. Andrea Ratto is Professor Mathematics at the Universite de Bretagne Occidentale in Brest.
