Spivak, Michael A comprehensive introduction to differential geometry. Vol. III. 2nd ed. (English) Zbl 0439.53003 Berkeley: Publish or Perish, Inc. XI, 466 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 132 Documents MSC: 53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry 22E15 General properties and structure of real Lie groups 53-03 History of differential geometry 53A05 Surfaces in Euclidean and related spaces 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 53A15 Affine differential geometry 53A30 Conformal differential geometry (MSC2010) 53B05 Linear and affine connections 53B20 Local Riemannian geometry 53B25 Local submanifolds 53C40 Global submanifolds 53C45 Global surface theory (convex surfaces à la A. D. Aleksandrov) 57R25 Vector fields, frame fields in differential topology 57S15 Compact Lie groups of differentiable transformations 53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) 55M25 Degree, winding number Keywords:hypersurfaces; curves on surfaces; complete surfaces of constant curvature; Gauss-Bonnet theorem; total cuvature of curves Citations:Zbl 0306.53001 PDF BibTeX XML OpenURL