Abstract
The shortest distance between two points located on a surface of the Riemann space E N is related to a curve of stationary value, which equation is obtained by means of the variational calculus. This curve is called geodesic. The checking of the existence of this type of curve is carried out from the basic concepts of the elementary geometry.
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© 2016 Springer International Publishing Switzerland
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de Souza Sánchez Filho, E. (2016). Geodesics and Parallelism of Vectors. In: Tensor Calculus for Engineers and Physicists . Springer, Cham. https://doi.org/10.1007/978-3-319-31520-1_6
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DOI: https://doi.org/10.1007/978-3-319-31520-1_6
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-31519-5
Online ISBN: 978-3-319-31520-1
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