A comprehensive introduction to differential geometry. Vol. V. 2nd ed. (English) Zbl 0439.53005

Berkeley: Publish or Perish, Inc. VII, 661 p. Vols. 3-5 set $ 62.50 (1979).


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
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
53C22 Geodesics in global differential geometry