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183   $acr
200 10$aHarmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 $eMethods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) /$fAndrea Ratto, James Eells
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$dİ1993
215   $a1 online resource (235 pages) $cillustrations
225 0 $aAnnals of Mathematics Studies ;$v312
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-691-10249-X 
311   $a0-691-03321-8 
320   $aIncludes bibliographical references and index.
327   $tFrontmatter -- $tINTRODUCTION -- $tTABLE OF CONTENTS -- $tPART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- $tPART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- $tPART 3. HARMONIC MAPS BETWEEN SPHERES -- $tAPPENDIX 1. SECOND VARIATIONS -- $tAPPENDIX 2. RIEMANNIAN IMMERSIONS Sm ? Sn -- $tAPPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- $tAPPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- $tREFERENCES -- $tINDEX
330   $aThe aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.
410  0$aAnnals of mathematics studies ;$vno. 130.
606   $aHarmonic maps
606   $aImmersions (Mathematics)
606   $aDifferential equations, Elliptic$xNumerical solutions
610   $aArc length.
610   $aCatenary.
610   $aClifford algebra.
610   $aCodimension.
610   $aCoefficient.
610   $aCompact space.
610   $aComplex projective space.
610   $aConnected sum.
610   $aConstant curvature.
610   $aCorollary.
610   $aCovariant derivative.
610   $aCurvature.
610   $aCylinder (geometry).
610   $aDegeneracy (mathematics).
610   $aDiagram (category theory).
610   $aDifferential equation.
610   $aDifferential geometry.
610   $aElliptic partial differential equation.
610   $aEmbedding.
610   $aEnergy functional.
610   $aEquation.
610   $aExistence theorem.
610   $aExistential quantification.
610   $aFiber bundle.
610   $aGauss map.
610   $aGeometry and topology.
610   $aGeometry.
610   $aGravitational field.
610   $aHarmonic map.
610   $aHyperbola.
610   $aHyperplane.
610   $aHypersphere.
610   $aHypersurface.
610   $aInteger.
610   $aIterative method.
610   $aLevi-Civita connection.
610   $aLie group.
610   $aMathematics.
610   $aMaximum principle.
610   $aMean curvature.
610   $aNormal (geometry).
610   $aNumerical analysis.
610   $aOpen set.
610   $aOrdinary differential equation.
610   $aParabola.
610   $aQuadratic form.
610   $aSign (mathematics).
610   $aSpecial case.
610   $aStiefel manifold.
610   $aSubmanifold.
610   $aSuggestion.
610   $aSurface of revolution.
610   $aSymmetry.
610   $aTangent bundle.
610   $aTheorem.
610   $aVector bundle.
610   $aVector space.
610   $aVertical tangent.
610   $aWinding number.
615  0$aHarmonic maps.
615  0$aImmersions (Mathematics)
615  0$aDifferential equations, Elliptic$xNumerical solutions.
676   $a514/.7
700   $aEells$b James, $053435
702   $aRatto$b Andrea, 
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154754703321
996   $aHarmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130$92788800
997   $aUNINA