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math.DG2005★ 1 cited
Diabatic Limit, Eta Invariants and Cauchy-Riemann Manifolds of Dimension 3
Olivier Biquard, Marc Herzlich, Michel Rumin
We relate a recently introduced non-local geometric invariant of compact strictly pseudoconvex Cauchy-Riemann (CR) manifolds of dimension 3 to various eta-invariants in CR geometry…
math.DG2004★ 1 cited
Conformally flat manifolds with nonnegative Ricci curvature
Gilles Carron, Marc Herzlich
We show that complete conformally flat manifolds of dimension n>2 with nonnegative Ricci curvature enjoy nice rigidity properties: they are either flat, or locally isometric to a p…