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Cohomology Of Principal Bundles And Homogeneous Spaces
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Book Synopsis Cohomology of Principal Bundles and Homogeneous Spaces by :
Download or read book Cohomology of Principal Bundles and Homogeneous Spaces written by and published by . This book was released on 1972 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Connections, Curvature, and Cohomology by :
Download or read book Connections, Curvature, and Cohomology written by and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Connections, Curvature, and Cohomology. Vol.Iii: Cohomology of Principal Bundles and Homogeneous Spaces by : Werner H. Greub
Download or read book Connections, Curvature, and Cohomology. Vol.Iii: Cohomology of Principal Bundles and Homogeneous Spaces written by Werner H. Greub and published by . This book was released on 1976 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cohomology of Principal Bundles, and Homogeneous Spaces by : Werner Hilbert Greub
Download or read book Cohomology of Principal Bundles, and Homogeneous Spaces written by Werner Hilbert Greub and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Connections, Curvature, and Cohomology by : Werner Hildbert Greub
Download or read book Connections, Curvature, and Cohomology written by Werner Hildbert Greub and published by . This book was released on 1972 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph developed out of the Abendseminar of 1958-1959 at the University of Zürich. The purpose of this monograph is to develop the de Rham cohomology theory, and to apply it to obtain topological invariants of smooth manifolds and fibre bundles. It also addresses the purely algebraic theory of the operation of a Lie algebra in a graded differential algebra.
Book Synopsis Topological Library by : Serge? Petrovich Novikov
Download or read book Topological Library written by Serge? Petrovich Novikov and published by World Scientific. This book was released on 2012 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in 1950-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated "singular homologies of fiber spaces."
Book Synopsis Cohomology of principal bundles and homogenous spaces by :
Download or read book Cohomology of principal bundles and homogenous spaces written by and published by . This book was released on 1973 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Connections, Curvature, and Cohomology by : Werner Hildbert Greub
Download or read book Connections, Curvature, and Cohomology written by Werner Hildbert Greub and published by . This book was released on 1976 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Connections, Curvature, and Cohomology by : Werner Hildbert Greub
Download or read book Connections, Curvature, and Cohomology written by Werner Hildbert Greub and published by Academic Press. This book was released on 1972 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph developed out of the Abendseminar of 1958-1959 at the University of Zürich. The purpose of this monograph is to develop the de Rham cohomology theory, and to apply it to obtain topological invariants of smooth manifolds and fibre bundles. It also addresses the purely algebraic theory of the operation of a Lie algebra in a graded differential algebra.
Book Synopsis Geometry of Differential Forms by : Shigeyuki Morita
Download or read book Geometry of Differential Forms written by Shigeyuki Morita and published by American Mathematical Soc.. This book was released on 2001 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms. The book by Morita is a comprehensive introduction to differential forms. It begins with a quick introduction to the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results concerning them, such as the de Rham and Frobenius theorems. The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated is a detailed description of the Chern-Weil theory. The book can serve as a textbook for undergraduate students and for graduate students in geometry.
Book Synopsis Invariant Differential Operators and the Cohomology of Lie Algebra Sheaves by : Franz W. Kamber
Download or read book Invariant Differential Operators and the Cohomology of Lie Algebra Sheaves written by Franz W. Kamber and published by American Mathematical Soc.. This book was released on 1971 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a Lie algebra sheaf L of derivations of a sheaf of rings O on a space X global cohomology groups and local cohomology sheaves are introduced and analyzed. Global and local splitting obstructions for extensions of modules over a Lie algebra sheaf are studied. In the applications considered, L is a Lie algebra sheaf of vector fields on a manifold M, O the structure sheaf of M. For vector bundles E, F on M on which L acts, the existence of invariant differential operators D: E→F whose symbols are preassigned equivariant maps is discussed in terms of these splitting obstructions. Lie algebra sheaves defined by Lie group actions are considered. This theory is applied in particular to the case of a transitive L. The splitting obstructions for extensions of modules over a transitive Lie algebra sheaf are analyzed in detail. The results are then applied to the problem of the existence of invariant connections on locally homogeneous spaces. The obstruction is computed in some examples.
Book Synopsis Connections, Curvature, and Cohomology Volume 3 by : Werner Greub
Download or read book Connections, Curvature, and Cohomology Volume 3 written by Werner Greub and published by Academic Press. This book was released on 1976-02-19 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connections, Curvature, and Cohomology Volume 3
Book Synopsis Connections, Curvature, and Cohomology: Lie groups, principal bundles, and characteristic classes by : Werner Hildbert Greub
Download or read book Connections, Curvature, and Cohomology: Lie groups, principal bundles, and characteristic classes written by Werner Hildbert Greub and published by . This book was released on 1973 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2.
Book Synopsis Algebraic Models in Geometry by : Yves Félix
Download or read book Algebraic Models in Geometry written by Yves Félix and published by Oxford University Press. This book was released on 2008 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory.
Book Synopsis An Introduction to Differentiable Manifolds and Riemannian Geometry by :
Download or read book An Introduction to Differentiable Manifolds and Riemannian Geometry written by and published by Academic Press. This book was released on 1975-08-22 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Differentiable Manifolds and Riemannian Geometry
Download or read book Ring Theory V1 written by and published by Academic Press. This book was released on 1988-06-01 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ring Theory V1
Book Synopsis Modular Representations of Finite Groups by :
Download or read book Modular Representations of Finite Groups written by and published by Academic Press. This book was released on 1977-03-14 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modular Representations of Finite Groups