LEADER 06415nam 22016695 450 001 9910154753403321 005 20210927200934.0 010 $a1-4008-8143-9 024 7 $a10.1515/9781400881437 035 $a(CKB)3710000000620072 035 $a(MiAaPQ)EBC4738505 035 $a(DE-B1597)468042 035 $a(OCoLC)979836461 035 $a(DE-B1597)9781400881437 035 $a(EXLCZ)993710000000620072 100 $a20190708d1983 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aSeminar on minimal submanifolds /$fedited by Enrico Bombieri 210 1$aPrinceton, NJ :$cPrinceton University Press,$d1983. 215 $a1 online resource (368 pages) $cillustrations 225 1 $aAnnals of mathematics studies ;$vnumber 103 300 $aPapers presented during 1979-1980 at the Institute for Advanced Study. 311 $a0-691-08319-3 311 $a0-691-08324-X 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tCONTENTS -- $tINTRODUCTION -- $tSURVEY LECTURES ON MINIMAL SUBMANIFOLDS -- $tON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES -- $tEXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS -- $tARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES? -- $tESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS -- $tREGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP -- $tCLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS -- $tMINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS -- $tMINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE -- $tREGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX -- $tAFFINE MINIMAL SURFACES -- $tTHE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM -- $tNECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR -- $tAPPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS -- $tSIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS -- $tON THE GEHRING LINK PROBLEM -- $tCONSTRUCTING CRYSTALLIN E MINIMAL SURFACES -- $tREGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY -- $tNEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS -- $tSOME PROPERTIES OF CAPILLARY FREE SURFACE -- $tBERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY -- $tBackmatter 330 $aThe description for this book, Seminar On Minimal Submanifolds. (AM-103), Volume 103, will be forthcoming. 410 0$aAnnals of mathematics studies ;$vno. 103. 606 $aMinimal submanifolds 610 $aA priori estimate. 610 $aAnalytic function. 610 $aBanach space. 610 $aBoundary (topology). 610 $aBoundary value problem. 610 $aBounded set (topological vector space). 610 $aBranch point. 610 $aCauchy?Riemann equations. 610 $aCenter manifold. 610 $aClosed geodesic. 610 $aCodimension. 610 $aCoefficient. 610 $aCohomology. 610 $aCompactness theorem. 610 $aComparison theorem. 610 $aConfiguration space. 610 $aConformal geometry. 610 $aConformal group. 610 $aConformal map. 610 $aContinuous function. 610 $aCross product. 610 $aCurve. 610 $aDegeneracy (mathematics). 610 $aDiffeomorphism. 610 $aDifferential form. 610 $aDirac operator. 610 $aDiscrete group. 610 $aDivergence theorem. 610 $aEigenvalues and eigenvectors. 610 $aElementary proof. 610 $aEquation. 610 $aExistence theorem. 610 $aExistential quantification. 610 $aExterior derivative. 610 $aFirst variation. 610 $aFree boundary problem. 610 $aFundamental group. 610 $aGauss map. 610 $aGeodesic. 610 $aGeometry. 610 $aGroup action. 610 $aHamiltonian mechanics. 610 $aHarmonic function. 610 $aHarmonic map. 610 $aHausdorff dimension. 610 $aHausdorff measure. 610 $aHomotopy group. 610 $aHomotopy. 610 $aHurewicz theorem. 610 $aHyperbolic 3-manifold. 610 $aHyperbolic manifold. 610 $aHyperbolic space. 610 $aHypersurface. 610 $aImplicit function theorem. 610 $aInfimum and supremum. 610 $aInjective function. 610 $aInner automorphism. 610 $aIsolated singularity. 610 $aIsometry group. 610 $aIsoperimetric problem. 610 $aKlein bottle. 610 $aKleinian group. 610 $aLimit set. 610 $aLipschitz continuity. 610 $aMapping class group. 610 $aMaxima and minima. 610 $aMaximum principle. 610 $aMinimal surface of revolution. 610 $aMinimal surface. 610 $aMonotonic function. 610 $aMöbius transformation. 610 $aNorm (mathematics). 610 $aOrthonormal basis. 610 $aParametric surface. 610 $aPeriodic function. 610 $aPoincaré conjecture. 610 $aProjection (linear algebra). 610 $aRegularity theorem. 610 $aRiemann surface. 610 $aRiemannian manifold. 610 $aSchwarz reflection principle. 610 $aSecond fundamental form. 610 $aSemi-continuity. 610 $aSimply connected space. 610 $aSpecial case. 610 $aStein's lemma. 610 $aSubalgebra. 610 $aSubgroup. 610 $aSubmanifold. 610 $aSubsequence. 610 $aSupport (mathematics). 610 $aSymplectic manifold. 610 $aTangent space. 610 $aTeichmüller space. 610 $aTheorem. 610 $aTrace (linear algebra). 610 $aUniformization. 610 $aUniqueness theorem. 610 $aVariational principle. 610 $aYamabe problem. 615 0$aMinimal submanifolds. 676 $a516.3/6 702 $aBombieri$b Enrico$f1940- 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154753403321 996 $aSeminar on Minimal Submanifolds$9346716 997 $aUNINA