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arXiv · 1701.05425

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

Erwann Delay
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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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Erwann Delay. 2017-01-19. Lp almost conformal isometries of Sub-Semi-Riemannian metrics and solvability of a Ricci equation. https://arxiv.org/abs/1701.05425

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