Author | Warner, Frank W. author |
---|---|

Title | Foundations of Differentiable Manifolds and Lie Groups [electronic resource] / by Frank W. Warner |

Imprint | New York, NY : Springer New York : Imprint: Springer, 1983 |

Connect to | http://dx.doi.org/10.1007/978-1-4757-1799-0 |

Descript | X, 276 p. online resource |

SUMMARY

Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful

CONTENT

1 Manifolds -- 2 Tensors and Differential Forms -- 3 Lie Groups -- 4 Integration on Manifolds -- 5 Sheaves, Cohomology, and the de Rham Theorem -- 6 The Hodge Theorem -- Supplement to the Bibliography -- Index of Notation

Mathematics
Algebra
Topological groups
Lie groups
Manifolds (Mathematics)
Complex manifolds
Mathematics
Algebra
Manifolds and Cell Complexes (incl. Diff.Topology)
Topological Groups Lie Groups