A comprehensive introduction to differential geometry. Vol. 5. (English) Zbl 0306.53003

Boston, Mass.: Publish or Perish, Inc. V, 661 p. (1975).


53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry
12E05 Polynomials in general fields (irreducibility, etc.)
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35A10 Cauchy-Kovalevskaya theorems
35A30 Geometric theory, characteristics, transformations in context of PDEs
35F05 Linear first-order PDEs
35G05 Linear higher-order PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35J15 Second-order elliptic equations
35L05 Wave equation
35L10 Second-order hyperbolic equations
35L40 First-order hyperbolic systems
53-02 Research exposition (monographs, survey articles) pertaining to differential geometry
53-03 History of differential geometry
53A05 Surfaces in Euclidean and related spaces
53B20 Local Riemannian geometry
53B25 Local submanifolds
53C05 Connections (general theory)
53C10 \(G\)-structures
53C20 Global Riemannian geometry, including pinching
53C30 Differential geometry of homogeneous manifolds
53C40 Global submanifolds
55N10 Singular homology and cohomology theory
55R05 Fiber spaces in algebraic topology
55R10 Fiber bundles in algebraic topology
53C45 Global surface theory (convex surfaces à la A. D. Aleksandrov)
55R25 Sphere bundles and vector bundles in algebraic topology
55R40 Homology of classifying spaces and characteristic classes in algebraic topology
57R15 Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
57R20 Characteristic classes and numbers in differential topology
57R25 Vector fields, frame fields in differential topology
58A15 Exterior differential systems (Cartan theory)