Rigidity at infinity for even-dimensional asymptotically complex hyperbolic spaces

Details Rigidity at infinity for even-dimensional asymptotically complex hyperbolic spaces Rigidity at infinity for even-dimensional asymptotically complex hyperbolic spaces

2001-06-13

arxiv.org/abs/math/0106112v1

Ann. Scuola Norm. Sup Pisa, Ser. V, Vol 1 (2002), 461-469

Mathematics

Differential Geometry

10 pages

Scientific paper

Any Kaehler metric on the ball which is strongly asymptotic to complex
hyperbolic space and whose scalar curvature is no less than the one of the
complex hyperbolic space must be isometrically biholomorphic to it. This result
has been known for some time in odd complex dimension and we provide here a
proof in even dimension.

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