Lp almost conformal isometries of Sub-Semi-Riemannian metrics and solvability of a Ricci equation

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.
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https://hal-univ-avignon.archives-ouvertes.fr/hal-01440190
Contributor : Erwann Delay <>
Submitted on : Thursday, January 19, 2017 - 9:24:09 AM
Last modification on : Tuesday, April 2, 2019 - 1:46:01 PM
Long-term archiving on : Thursday, April 20, 2017 - 12:59:14 PM

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  • HAL Id : hal-01440190, version 1
  • ARXIV : 1701.05425

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Erwann Delay. Lp almost conformal isometries of Sub-Semi-Riemannian metrics and solvability of a Ricci equation. 2017. ⟨hal-01440190⟩

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