04491nam 22013695 450 991015474860332120190708092533.01-4008-8220-610.1515/9781400882205(CKB)3710000000627298(MiAaPQ)EBC4738685(DE-B1597)467963(OCoLC)979970575(DE-B1597)9781400882205(EXLCZ)99371000000062729820190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierCurvature and Betti Numbers. (AM-32), Volume 32 /Kentaro Yano, Salomon TrustPrinceton, NJ : Princeton University Press, [2016]©19541 online resource (205 pages)Annals of Mathematics Studies ;2820-691-09583-3 Includes bibliographical references.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 -- BackmatterThe description for this book, Curvature and Betti Numbers. (AM-32), Volume 32, will be forthcoming.Annals of mathematics studies ;no. 32.CurvatureGeometry, DifferentialAbelian 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.Curvature.Geometry, Differential.513.7516.7*Trust Salomon, 851525Yano Kentaro, DE-B1597DE-B1597BOOK9910154748603321Curvature and Betti Numbers. (AM-32), Volume 322788033UNINA