Book Data

MARC Record

000  04096mam  2200925 a 4500
001  26931897
005  19930601114725.0
008  930601s1993    njua     b    001 0 eng  
010      $a92038760
020      $a0691033218 (acid-free paper) :$c$49.50
020      $a069110249X (pbk. : acid-free paper) :$c$19.95
035      $a(OCoLC)26931897
040      $aDLC$cDLC$dWTU$dOrLoB-B
049      $aWTTA
050  00  $aQA614.73$b.E35 1993
082  00  $a514/.7$220
090      $aQA614.73$bE42 1993
100  1   $aEells, James,$d1926-2007.
245  10  $aHarmonic maps and minimal immersions with
         symmetries :$bmethods of ordinary differential equations
         applied to elliptic variational problems /$cby James Eells
         and Andrea Ratto.
260      $aPrinceton, N.J. :$bPrinceton University
         Press,$c1993.
300      $a228 p. :$bill. ;$c25 cm.
440   0  $aAnnals of mathematics studies ;$vno. 130.
504      $aIncludes bibliographical references (p. 213-223)
         and index.
650   0  $aHarmonic maps.
650   0  $aImmersions (Mathematics)
650   0  $aDifferential equations, Elliptic$xNumerical
         solutions.
700  1   $aRatto, Andrea,$d1961-
935      $aADR8948
970  01  $tIntroduction
970  11  $lPt. I$tBasic Variational and Geometrical
         Properties
970  12  $lCh. I$tHarmonic maps and minimal immersions
970  13  $tBasic properties of harmonic maps$p13
970  13  $tMinimal immersions$p20
970  12  $lCh. II$tImmersions of parallel mean curvature
970  13  $tParallel mean curvature$p24
970  13  $tAlexandrov's theorem$p29
970  12  $lCh. III$tSurfaces of parallel mean curvature
970  13  $tTheorems of Chern and Ruh-Vilms$p34
970  13  $tTheorems of Almgren-Calabi and Hopf$p37
970  13  $tOn the Sinh-Gordon equation$p40
970  13  $tWente's theorem$p42
970  12  $lCh. IV$tReduction techniques
970  13  $tRiemannian submersions$p48
970  13  $tHarmonic morphisms and maps into a circle$p51
970  13  $tIsoparametric maps$p54
970  13  $tReduction techniques$p58
970  11  $lPt. II$tG-Invariant Minimal and Constant Mean
         Curvature Immersions
970  12  $lCh. V$tFirst examples of reductions
970  13  $tG-equivariant harmonic maps$p64
970  13  $tRotation hypersurfaces in spheres$p74
970  13  $tConstant mean curvature rotation hypersurfaces in
         R[superscript n]$p81
970  12  $lCh. VI$tMinimal embeddings of hyperspheres in
         S[superscript 4]
970  13  $tDerivation of the equation and main theorem$p92
970  13  $tExistence of solutions starting at the
         boundary$p95
970  13  $tAnalysis of the O.D.E. and proof of the main
         theorem$p102
970  12  $lCh. VII$tConstant mean curvature immersions of
         hyperspheres into R[superscript n]
970  13  $tStatement of the main theorem$p111
970  13  $tAnalytical lemmas$p114
970  13  $tProof of the main theorem$p120
970  11  $lPt. III$tHarmonic Maps Between Spheres
970  12  $lCh. VIII$tPolynomial maps
970  13  $tEigenmaps S[superscript m] [actual symbol not
         reproducible] S[superscript n]$p129
970  13  $tOrthogonal multiplications and related
         constructions$p137
970  13  $tPolynomial maps between spheres$p143
970  12  $lCh. IX$tExistence of harmonic joins
970  13  $tThe reduction equation$p151
970  13  $tProperties of the reduced energy functional
         J$p154
970  13  $tAnalysis of the O.D.E.$p157
970  13  $tThe damping conditions$p161
970  13  $tExamples of harmonic maps$p167
970  12  $lCh. X$tThe harmonic Hopf construction
970  13  $tThe existence theorem$p171
970  13  $tExamples of harmonic Hopf constructions$p179
970  13  $t[pi][subscript 3](S[superscript 2] and harmonic
         morphisms$p182
970  11  $tAppendix 1 Second variations$p188
970  11  $tAppendix 2 Riemannian immersions S[superscript m]
         [actual symbol not reproducible] S[superscript n]$p200
970  11  $tAppendix 3 Minimal graphs and pendent drops$p204
970  11  $tAppendix 4 Further aspects of pendulum type
         equations$p208
970  01  $tReferences$p213
970  01  $tIndex$p224