Lp almost conformal isometries of Sub-Semi-Riemannian metrics and solvability of a Ricci equationReport as inadecuate




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1 LMA - EA2151 Laboratoire de Mathématiques d-Avignon

Abstract : Let M be a smooth compact manifold without boundary. We consider two smooth Sub-Semi-Riemannian metrics on M. Under suitable conditions, we show that they are almost conformally isometric in an Lp sense. Assume also that M carries a Riemannian metric with parallel Ricci curvature. Then an equation of Ricci type, is in some sense solvable, without assuming any closeness near a special metric.

Keywords : Inverse problem Ricci curvature Einstein metrics Sub-Semi-Riemannian metrics Quasilinear elliptic systems





Author: Erwann Delay -

Source: https://hal.archives-ouvertes.fr/



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