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gr-qc2003
Projective connections associated with second order ODEs
Ezra T Newman, Pawel Nurowski
We show that every 2nd order ODE defines a 4-parameter family of projective connections on its 2-dimensional solution space. In a special case of ODEs, for which a certain point tr…
gr-qc2000
Non-vacuum twisting type N metrics
Paweł~Nurowski, Jerzy F. Plebański
A maximally reduced system of equations corresponding to the twisting type N Einstein metrics is given. When the cosmological constant they reduce to the standard equation…