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A comprehensive introduction to differential geometry. Vol. IV. 2nd ed. (English) Zbl 0439.53004
Berkeley: Publish or Perish, Inc. VII, 561 p. Vols. 3-5 set $ 62.50 (1979).

MSC:
53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry
49Qxx Manifolds and measure-geometric topics
53-03 History of differential geometry
53A05 Surfaces in Euclidean and related spaces
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
53B05 Linear and affine connections
53B25 Local submanifolds
53B20 Local Riemannian geometry
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53C20 Global Riemannian geometry, including pinching
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis
58A05 Differentiable manifolds, foundations
58A10 Differential forms in global analysis
58A15 Exterior differential systems (Cartan theory)
58E10 Variational problems in applications to the theory of geodesics (problems in one independent variable)
53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
53C22 Geodesics in global differential geometry
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)