Berger, Marcel; Gostiaux, Bernard Differential geometry: manifolds, curves, and surfaces. Transl. from the French by Silvio Levy. (English) Zbl 0629.53001 Graduate Texts in Mathematics, 115. New York etc.: Springer-Verlag. XII, 474 p.; DM 98.00 (1988). This is the English translation of the extended French original (Presses Univ. France, Paris 1987) (see Zbl 0619.53001). The first French version appeared in 1972 (see Zbl 0251.53001). Cited in 72 Documents MathOverflow Questions: Smoothness of ruled surface (asymptotic) parameterisations MSC: 53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry 53-02 Research exposition (monographs, survey articles) pertaining to differential geometry 58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis 53A04 Curves in Euclidean and related spaces 53A05 Surfaces in Euclidean and related spaces 53B20 Local Riemannian geometry Keywords:global curve theory; global surface theory Citations:Zbl 0619.53001; Zbl 0251.53001 PDF BibTeX XML Cite \textit{M. Berger} and \textit{B. Gostiaux}, Differential geometry: manifolds, curves, and surfaces. Transl. from the French by Silvio Levy. New York etc.: Springer-Verlag (1988; Zbl 0629.53001) OpenURL