Cartan normal conformal connections from differential equations

Details Cartan normal conformal connections from differential equations Cartan normal conformal connections from differential equations

Oct 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cqgra..19.5235f&link_type=abstract

Classical and Quantum Gravity, Volume 19, Issue 20, pp. 5235-5247 (2002).

Physics

13

Scientific paper

We explore and show a natural relationship between all third-order ordinary differential equations that possess a vanishing Wunschmann invariant, with conformal metrics on 3-manifolds and Cartan's normal O(3, 2) conformal connections. The generalization to pairs of second-order PDEs and their relationship to Cartan's normal O(4, 2) conformal connections on four-dimensional manifolds is discussed.

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