Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorWarner, Frank W. author
TitleFoundations of Differentiable Manifolds and Lie Groups [electronic resource] / by Frank W. Warner
ImprintNew York, NY : Springer New York : Imprint: Springer, 1983
Connect tohttp://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



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram