A fundamental differential system of Riemannian geometry

  title={A fundamental differential system of Riemannian geometry},
  author={R. Albuquerque},
  journal={Revista Matematica Iberoamericana},
  • R. Albuquerque
  • Published 2019
  • Mathematics
  • Revista Matematica Iberoamericana
  • We discover a fundamental exterior differential system of Riemannian geometry; indeed, an intrinsic and invariant global system of differential forms of degree n associated to any given oriented Riemannian manifold M of dimension n+1. The framework is that of the tangent sphere bundle of M. We generalise to a Riemannian setting some results from the theory of hypersurfaces in flat Euclidean space. We give new applications and examples of the associated Euler–Lagrange differential systems. 
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