06415nam 22016695 450 991015475340332120210927200934.01-4008-8143-910.1515/9781400881437(CKB)3710000000620072(MiAaPQ)EBC4738505(DE-B1597)468042(OCoLC)979836461(DE-B1597)9781400881437(EXLCZ)99371000000062007220190708d1983 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSeminar on minimal submanifolds /edited by Enrico BombieriPrinceton, NJ :Princeton University Press,1983.1 online resource (368 pages) illustrationsAnnals of mathematics studies ;number 103Papers presented during 1979-1980 at the Institute for Advanced Study.0-691-08319-3 0-691-08324-X Includes bibliographical references.Frontmatter -- CONTENTS -- INTRODUCTION -- SURVEY LECTURES ON MINIMAL SUBMANIFOLDS -- ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES -- EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS -- ARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES? -- ESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS -- REGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP -- CLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS -- MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS -- MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE -- REGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX -- AFFINE MINIMAL SURFACES -- THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM -- NECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR -- APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS -- SIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS -- ON THE GEHRING LINK PROBLEM -- CONSTRUCTING CRYSTALLIN E MINIMAL SURFACES -- REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY -- NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS -- SOME PROPERTIES OF CAPILLARY FREE SURFACE -- BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY -- BackmatterThe description for this book, Seminar On Minimal Submanifolds. (AM-103), Volume 103, will be forthcoming.Annals of mathematics studies ;no. 103.Minimal submanifoldsA priori estimate.Analytic function.Banach space.Boundary (topology).Boundary value problem.Bounded set (topological vector space).Branch point.Cauchy–Riemann equations.Center manifold.Closed geodesic.Codimension.Coefficient.Cohomology.Compactness theorem.Comparison theorem.Configuration space.Conformal geometry.Conformal group.Conformal map.Continuous function.Cross product.Curve.Degeneracy (mathematics).Diffeomorphism.Differential form.Dirac operator.Discrete group.Divergence theorem.Eigenvalues and eigenvectors.Elementary proof.Equation.Existence theorem.Existential quantification.Exterior derivative.First variation.Free boundary problem.Fundamental group.Gauss map.Geodesic.Geometry.Group action.Hamiltonian mechanics.Harmonic function.Harmonic map.Hausdorff dimension.Hausdorff measure.Homotopy group.Homotopy.Hurewicz theorem.Hyperbolic 3-manifold.Hyperbolic manifold.Hyperbolic space.Hypersurface.Implicit function theorem.Infimum and supremum.Injective function.Inner automorphism.Isolated singularity.Isometry group.Isoperimetric problem.Klein bottle.Kleinian group.Limit set.Lipschitz continuity.Mapping class group.Maxima and minima.Maximum principle.Minimal surface of revolution.Minimal surface.Monotonic function.Möbius transformation.Norm (mathematics).Orthonormal basis.Parametric surface.Periodic function.Poincaré conjecture.Projection (linear algebra).Regularity theorem.Riemann surface.Riemannian manifold.Schwarz reflection principle.Second fundamental form.Semi-continuity.Simply connected space.Special case.Stein's lemma.Subalgebra.Subgroup.Submanifold.Subsequence.Support (mathematics).Symplectic manifold.Tangent space.Teichmüller space.Theorem.Trace (linear algebra).Uniformization.Uniqueness theorem.Variational principle.Yamabe problem.Minimal submanifolds.516.3/6Bombieri Enrico1940-DE-B1597DE-B1597BOOK9910154753403321Seminar on Minimal Submanifolds346716UNINA