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A comprehensive introduction to differential geometry. Vol. I. 2nd ed. (English) Zbl 0439.53001
Berkeley, California: Publish or Perish, Inc. XIII, 668 p. (1979).

MSC:
53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry
58A05 Differentiable manifolds, foundations
57R40 Embeddings in differential topology
57R42 Immersions in differential topology
57R55 Differentiable structures in differential topology
58A10 Differential forms in global analysis
58A15 Exterior differential systems (Cartan theory)
58A30 Vector distributions (subbundles of the tangent bundles)
53A45 Differential geometric aspects in vector and tensor analysis
53C20 Global Riemannian geometry, including pinching
53C65 Integral geometry
22E15 General properties and structure of real Lie groups
55-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology
57-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to manifolds and cell complexes
58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis