Seminar on minimal submanifolds / / edited by Enrico Bombieri

• Pubblicazione: Princeton, NJ : , : Princeton University Press, , 1983
• Descrizione fisica: 1 online resource (368 pages) : illustrations
• Disciplina: 516.3/6
• Soggetto topico: Minimal submanifolds
• Soggetto non controllato: A 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
• Persona (resp. second.): BombieriEnrico <1940->
• Note generali: Papers presented during 1979-1980 at the Institute for Advanced Study.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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 -- Backmatter
• Sommario/riassunto: The description for this book, Seminar On Minimal Submanifolds. (AM-103), Volume 103, will be forthcoming.
• Titolo autorizzato: Seminar on Minimal Submanifolds
• ISBN: 1-4008-8143-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154753403321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 103.