A comprehensive introduction to differential geometry. Vol. 4. (English) Zbl 0306.53002

Boston, Mass.: Publish or Perish, Inc. V, 561 p. (1975).


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
53B20 Local Riemannian geometry
53B25 Local submanifolds
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)