Newton mechanics in Riemannian manifold

• Miguel C. Muñoz-Lecanda ^[1]
  1. [1] Departamento de Matemáticas, Universidad Politécnica de Catalunya
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 32, Nº. 2, 2020 (Ejemplar dedicado a: Matemáticas), págs. 1-27
• Idioma: inglés
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• Resumen

  • The work done by Isaac Newton more than three hundred years ago, continues being a path to increase our knowledge of Nature. To better understand all ideas bhind it, one of the finest ways is to generalize them to wider situations. In this report we make a review of one of these enlargements, the one that bears the mechanical systems from the elementary homogeneous three dimensional Euclidian space to the more abstract geometry of a Riemannian manifold.