Surface Geometry. Tensors in Riemannian Space R2

Autor: Fridtjov Irgens
Rok vydání: 2018
Předmět:
Zdroj: Tensor Analysis ISBN: 9783030034115
DOI: 10.1007/978-3-030-03412-2_8
Popis: 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 \( y^{i} \). Open image in new window Fig. 8.1 Two-dimensional surface imbedded in three-dimensional space \( E_{3} \). Coordinate lines: \( u^{1} \)-lines and \( u^{2} \)-lines
Databáze: OpenAIRE