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On  cohomology of ACH Kähler manifolds
Author(s):
Xiaodong
Wang
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2949-2960.
MSC (2000):
Primary 53C55;
Secondary 58J50
Posted:
February 9, 2007
MathSciNet review:
2317973
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Additional information
Abstract:
We discuss a class of complete Kähler manifolds which are asymptotically complex hyperbolic near infinity. The main result is a sharp vanishing theorem for the second  cohomology of such manifolds under certain assumptions. The borderline case characterizes a Kähler-Einstein manifold constructed by Calabi.
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Additional Information:
Xiaodong
Wang
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Email:
xwang@math.msu.edu
DOI:
10.1090/S0002-9939-07-08838-7
PII:
S 0002-9939(07)08838-7
Received by editor(s):
January 17, 2006
Received by editor(s) in revised form:
May 24, 2006
Posted:
February 9, 2007
Communicated by:
Richard A. Wentworth
Copyright of article:
Copyright
2007,
American Mathematical Society
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