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Chapter 2 deals with local properties of surfaces in 3-dimensional Euclidean space. In Chapter 3, the Riemannian metric on a surface is introduced and properties determined only by the first fundamental form are discussed.
This set features: "Foundations of Differential Geometry, Volume 1 " (978-0-471-15733-5) and "Foundations of Differential Geometry, Volume 2" (978-0-471-15732-8), both by Shoshichi Kobayashi and Katsumi Nomizu
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