Conformal Lorentzian metrics on the spaces of curves and 2-surfaces

Details Conformal Lorentzian metrics on the spaces of curves and 2-surfaces Conformal Lorentzian metrics on the spaces of curves and 2-surfaces

Aug 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cqgra..20.3649f&link_type=abstract

Classical and Quantum Gravity, Volume 20, Issue 16, pp. 3649-3659 (2003).

Physics

5

Scientific paper

We show how, beginning with the space of curves in R2 and the space of 2-surfaces in R3, one can define conformal Lorentzian three- and four-dimensional metrics on certain special subspaces. It is conjectured that for the case of curves in R2 this is how Wunschmann obtained his well-known equation. Generalizing the argument to the case of 2-surfaces, leads to a generalized Wunschmann equation. We point out that all conformal Lorentzian three- and four-dimensional metrics (thus including Einstein metrics) can be obtained in this manner.

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