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Riemannian geometry. 2nd ed. (English) Zbl 0716.53001

Universitext. Berlin etc.: Springer-Verlag. xiii, 284 p. DM 48.00 (1990).
The main additions to the first edition are a section devoted to surfaces of constant negative curvature, an introduction to conformal geometry and a proof of the Paul Levy-Gromov isoperimetric inequality.
For a review of the first edition (1987) see Zbl 0636.53001.

MSC:

53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry
53B20 Local Riemannian geometry
53C20 Global Riemannian geometry, including pinching
58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis
58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)