Abstract
In the previous chapter, we considered the intrinsic geometry of a surface ƒ: U→ ℝ3. Many geometric properties of surfaces were presented in terms of the open set U, together with the positive definite inner product g u on each T u ℝ2 (i.e., in terms of the first fundamental form). The geometric properties were those invariant under change of variable.
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© 1978 Springer Science+Business Media New York
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Klingenberg, W. (1978). Two-Dimensional Riemannian Geometry. In: A Course in Differential Geometry. Graduate Texts in Mathematics, vol 51. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9923-3_6
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DOI: https://doi.org/10.1007/978-1-4612-9923-3_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9925-7
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