Warner, Frank W. Foundations of differentiable manifolds and Lie groups. Reprint. (English) Zbl 0516.58001 Graduate Texts in Mathematics, 94. New York etc.: Springer-Verlag. IX, 272 p., 57 figs. DM 58.00; $ 22.50 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 358 Documents MSC: 58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis 22Exx Lie groups 58Axx General theory of differentiable manifolds 53-02 Research exposition (monographs, survey articles) pertaining to differential geometry 58C35 Integration on manifolds; measures on manifolds 55N30 Sheaf cohomology in algebraic topology 53C30 Differential geometry of homogeneous manifolds Keywords:Hodge theorem; De Rham theorem; tensors; differential forms; cohomology algebras; eigenfunction of the Laplacian; Peter-Weyl theorem; sheaves of K-modules; adjoint representation; closed subgroup theorem Citations:Zbl 0241.58001; Zbl 0145.433; Zbl 0111.181; Zbl 0119.375; Zbl 0129.131; Zbl 0103.151; Zbl 0132.160; Zbl 0202.520; Zbl 0202.522 PDF BibTeX XML