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

    References

    SHOWING 1-10 OF 18 REFERENCES
    Riemannian Geometry
    • 5,217
    • PDF
    On the G2 bundle of a Riemannian 4-manifold
    • 12
    • PDF
    Homotheties and topology of tangent sphere bundles
    • 11
    • PDF
    Exterior Differential Systems and Euler-Lagrange Partial Differential Equations
    • 76
    • Highly Influential
    • PDF
    WEIGHTED METRICS ON TANGENT SPHERE BUNDLES
    • 9
    • PDF
    The G2 sphere of a 4-manifold
    • 13
    • PDF
    Riemannian Holonomy Groups And Calibrated Geometry
    • 192
    • PDF
    Variations of gwistor space
    • 5
    • PDF