Curvature and Betti Numbers (eBook)

Salomon Bochner, Kentaro Yano (Autoren)

eBook Download: PDF

2016
Princeton University Press (Verlag)
978-1-4008-8220-5 (ISBN)

Infos

A classic treatment of curvature and Betti numbers from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.To mark the continued success of the series, all books are available in paperback and as ebooks.

Produkt-Details

• Erscheint lt. Verlag: 2.3.2016
• Reihe/Serie: Annals of Mathematics Studies
• Reihe/Serie: Annals of Mathematics Studies
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: 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 • Dimension (vector space) • Einstein Manifold • Equation • Euclidean domain • Euclidean Geometry • Euclidean space • existential quantification • Geometry • Hausdorff space • hypersphere • Kähler manifold • Killing vector field • Lie group • manifold • Metric tensor • Metric tensor (general relativity) • 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 • Tensor Algebra • tensor calculus • tensor field • Theorem • torsion tensor • two-dimensional space • uniform convergence • Uniform Space • Unit circle • Unit sphere • Unit vector • Vector field
• ISBN-10: 1-4008-8220-6 / 1400882206
• ISBN-13: 978-1-4008-8220-5 / 9781400882205