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Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff
| Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (339 pages) : illustrations |
| Disciplina | 514/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Characteristic classes |
| Soggetto non controllato |
Additive group
Axiom Basis (linear algebra) Boundary (topology) Bundle map CW complex Canonical map Cap product Cartesian product Characteristic class Charles Ehresmann Chern class Classifying space Coefficient Cohomology ring Cohomology Compact space Complex dimension Complex manifold Complex vector bundle Complexification Computation Conformal geometry Continuous function Coordinate space Cross product De Rham cohomology Diffeomorphism Differentiable manifold Differential form Differential operator Dimension (vector space) Dimension Direct sum Directional derivative Eilenberg–Steenrod axioms Embedding Equivalence class Euler class Euler number Existence theorem Existential quantification Exterior (topology) Fiber bundle Fundamental class Fundamental group General linear group Grassmannian Gysin sequence Hausdorff space Homeomorphism Homology (mathematics) Homotopy Identity element Integer Interior (topology) Isomorphism class J-homomorphism K-theory Leibniz integral rule Levi-Civita connection Limit of a sequence Linear map Metric space Natural number Natural topology Neighbourhood (mathematics) Normal bundle Open set Orthogonal complement Orthogonal group Orthonormal basis Partition of unity Permutation Polynomial Power series Principal ideal domain Projection (mathematics) Representation ring Riemannian manifold Sequence Singular homology Smoothness Special case Steenrod algebra Stiefel–Whitney class Subgroup Subset Symmetric function Tangent bundle Tensor product Theorem Thom space Topological space Topology Unit disk Unit vector Variable (mathematics) Vector bundle Vector space |
| ISBN | 1-4008-8182-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- §1. Smooth Manifolds -- §2. Vector Bundles -- §3. Constructing New Vector Bundles Out of Old -- §4. Stiefel-Whitney Classes -- §5. Grassmann Manifolds and Universal Bundles -- §6. A Cell Structure for Grassmann Manifolds -- §7. The Cohomology Ring H*(Gn; Z/2) -- §8. Existence of Stiefel-Whitney Classes -- §9. Oriented Bundles and the Euler Class -- §10. The Thom Isomorphism Theorem -- §11. Computations in a Smooth Manifold -- §12. Obstructions -- §13. Complex Vector Bundles and Complex Manifolds -- §14. Chern Classes -- §15. Pontrjagin Classes -- §16. Chern Numbers and Pontrjagin Numbers -- §17. The Oriented Cobordism Ring Ω* -- §18. Thom Spaces and Transversality -- §19. Multiplicative Sequences and the Signature Theorem -- §20. Combinatorial Pontrjagin Classes -- Epilogue -- Appendix A: Singular Homology and Cohomology -- Appendix B: Bernoulli Numbers -- Appendix C: Connections, Curvature, and Characteristic Classes -- Bibliography -- Index |
| Record Nr. | UNINA-9910154754803321 |
Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Seminar on minimal submanifolds / / edited by Enrico Bombieri
| Seminar on minimal submanifolds / / edited by Enrico Bombieri |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , 1983 |
| Descrizione fisica | 1 online resource (368 pages) : illustrations |
| Disciplina | 516.3/6 |
| Collana | Annals of mathematics studies |
| 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 |
| ISBN | 1-4008-8143-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 |
| Record Nr. | UNINA-9910154753403321 |
| Princeton, NJ : , : Princeton University Press, , 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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