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Rigidity results for Riemannian spin^c manifolds with foliated boundary

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 نشر من قبل Nicolas Ginoux
 تاريخ النشر 2016
  مجال البحث
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Given a Riemannian spin^c manifold whose boundary is endowed with a Riemannian flow, we show that any solution of the basic Dirac equation satisfies an integral inequality depending on geometric quantities, such as the mean curvature and the ONeill tensor. We then characterize the equality case of the inequality when the ambient manifold is a domain of a Kahler-Einstein manifold or a Riemannian product of a Kahler-Einstein manifold with R (or with the circle S^1).



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