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

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

### MSC:

 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)