Scalar Curvature Rigidity of Almost Hermitian Spin Manifolds Which Are Asymptotically Complex Hyperbolic

@inproceedings{LISTING2004ScalarCR,
  title={Scalar Curvature Rigidity of Almost Hermitian Spin Manifolds Which Are Asymptotically Complex Hyperbolic},
  author={MARIO LISTING},
  year={2004}
}
  • MARIO LISTING
  • Published 2004
This paper generalizes a rigidity result of complex hyperbolic spaces by M. Herzlich. We prove that an almost Hermitian spin manifold (M, g) of real dimension 4n+2 which is strongly asymptotic to CH2n+1 and satisfies a certain scalar curvature bound must be isometric to the complex hyperbolic space. The fact that we do not assume g to be Kähler reflects in the inequality for the scalar curvature. 
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