Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893382 | Journal of Geometry and Physics | 2014 | 8 Pages |
Abstract
The equation determining whether a projective structure admits a connection in its given projective class that has skew-symmetric Ricci tensor is an overdetermined system of semi-linear partial differential equations which we call the projective Einstein–Weyl (pEW) equation. In 2-dimensions, we give local obstructions for projective surfaces to admit such a connection in its projective class. The obstructions are the resultants of polynomial equations that have to be satisfied for there to admit any pEW solution.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Matthew Randall,