Surface Geometry. Tensors in Riemannian Space R2

  • Fridtjov Irgens


Points or places in three-dimensional Euclidean space \( E_{3} \) are given by a place vector r as a function of Cartesian coordinates \( x_{i} \) as shown in Fig. 8.1, or by general coordinates \( y^{i} \).
Fig. 8.1

Two-dimensional surface imbedded in three-dimensional space \( E_{3} \). Coordinate lines: \( u^{1} \)-lines and \( u^{2} \)-lines


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    Sokolnikoff IS (1951) Tensor analysis. Wiley, New YorkzbMATHGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Norwegian University of Science and TechnologyBergenNorway

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