Spivak, Michael 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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 64 Documents 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 53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions 53C22 Geodesics in global differential geometry Keywords:geometry of partial differential equations; existence of isometric embeddings; rigidity of submanifolds; Gauss-Bonnef theorem Citations:Zbl 0306.53003; Zbl 0306.53002; Zbl 0202.520; Zbl 0306.53001 × Cite Format Result Cite Review PDF