Corpus ID: 225061735

Riemannian problems with a fundamental differential system

@inproceedings{Albuquerque2014RiemannianPW,
  title={Riemannian problems with a fundamental differential system},
  author={R. Albuquerque},
  year={2014}
}

R. Albuquerque

Published 2014

We introduce the reader to a fundamental exterior differential system of Riemannian geometry which arises naturally with every oriented Riemannian n+1manifold M. Such system is related to the well-known metric almost contact structure on the unit tangent sphere bundle SM, so we endeavor to include the theory in the field of contact systems. Our EDS is already known in dimensions 2 and 3, where it was used by Ph. Griffiths in applications to mechanical problems and Lagrangian systems. It is also… CONTINUE READING

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