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Curvature and Betti Numbers. (AM-32), Volume 32 / / Kentaro Yano, Salomon Trust
| Curvature and Betti Numbers. (AM-32), Volume 32 / / Kentaro Yano, Salomon Trust |
| Autore | Trust Salomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (205 pages) |
| Disciplina |
513.7
516.7* |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Curvature
Geometry, Differential |
| Soggetto non controllato |
Abelian integral
Affine connection Algebraic operation Almost periodic function Analytic function Arc length Betti number Coefficient Compact space Complex analysis Complex conjugate Complex dimension Complex manifold Conservative vector field Constant curvature Constant function Continuous function Convex set Coordinate system Covariance and contravariance of vectors Covariant derivative Curvature Derivative Differential form Differential geometry Dimension (vector space) Dimension Einstein manifold Equation Euclidean domain Euclidean geometry Euclidean space Existential quantification Geometry Hausdorff space Hypersphere Killing vector field Kähler manifold Lie group Manifold Metric tensor (general relativity) Metric tensor Mixed tensor One-parameter group Orientability Partial derivative Periodic function Permutation Quantity Ricci curvature Riemannian manifold Scalar (physics) Sectional curvature Self-adjoint Special case Subset Summation Symmetric tensor Symmetrization Tensor algebra Tensor calculus Tensor field Tensor Theorem Torsion tensor Two-dimensional space Uniform convergence Uniform space Unit circle Unit sphere Unit vector Vector field |
| ISBN | 1-4008-8220-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Riemannian Manifold -- Chapter II. Harmonic and Killing Vectors -- Chapter III. Harmonic and Killing Tensors -- Chapter IV. Harmonic and Killing Tensors in Flat Manifolds -- Chapter V. Deviation from Flatness -- Chapter VI. Semi-simple Group Spaces -- Chapter VII. Pseudo-harmonic Tensors and Pseudo-Killing Tensors in Metric Manifolds with Torsion -- Chapter VIII. Kaehler Manifold -- Chapter IX. Supplements / Bochner, S. -- Bibliography -- Backmatter |
| Record Nr. | UNINA-9910154748603321 |
Trust Salomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) / / Herbert Busemann
| Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) / / Herbert Busemann |
| Autore | Busemann Herbert |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (252 pages) : illustrations |
| Disciplina | 516 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Generalized spaces
Geometry - Foundations |
| Soggetto non controllato |
Abelian group
Absolute geometry Affine transformation Approximation Arc length Archimedean property Asymptote Axiom A. Axiom Axiomatic system Bernhard Riemann C0 Cartesian coordinate system Closed geodesic Collinearity Compact space Conjecture Conjugate points Constant curvature Convex body Convex curve Convex function Convex hull Convex metric space Convex polygon Convex set Coordinate system Counterexample Covariance and contravariance of vectors Curvature Diameter Differentiable function Dimension (vector space) Dimension Dimensional analysis Elementary proof Ellipse Ellipsoid Elliptic geometry Equation Equidistant Euclidean distance Euclidean geometry Euclidean space Exterior (topology) Geodesic Geodesy Geometry Group theory Hilbert geometry Hilbert space Homogeneous space Homotopy Hyperbola Hyperbolic geometry Hyperbolic motion Hyperplane Infimum and supremum Infinitesimal Intersection (set theory) Invariance theorem Jordan curve theorem Limit point Line at infinity Linear space (geometry) Linear subspace Linearity Metric space Minkowski space Non-Euclidean geometry Non-positive curvature Notation Open problem Parity (mathematics) Perpendicular Pointwise Projective geometry Projective plane Requirement Riemannian geometry Sequence Sign (mathematics) Simply connected space Special case Subgroup Subsequence Subset Tangent cone Tangent space Theorem Theory Three-dimensional space (mathematics) Topological group Topological space Topology Transitive relation Triangle inequality Two-dimensional space Unit circle Unit vector |
| ISBN | 1-4008-8229-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Table of Contents -- Chapter I. Metric Spaces with Geodesics -- Chapter II. Metric Conditions for Finsler Spaces -- Chapter III. Properties of General S. L. Spaces -- Chapter IV. Spaces with Convex Spheres -- Chapter V. Motions -- Bibliography -- Index |
| Record Nr. | UNINA-9910154744003321 |
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Busemann Herbert
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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