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Differential geometry. Curves–surfaces–manifolds. Transl. from the German by Bruce Hunt. (English) Zbl 1009.53002
Student Mathematical Library. 16. Providence, RI: American Mathematical Society (AMS). x, 358 p. (2002).
This is a translation of the German original with adaptations in the references to the English reading public. Some exercises and figures have been added. See the detailed review in Zbl 0931.53001.

53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
53A04 Curves in Euclidean and related spaces
53A05 Surfaces in Euclidean and related spaces
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53C20 Global Riemannian geometry, including pinching
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C35 Differential geometry of symmetric spaces