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The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups
Author(s):
James
F.
Davis;
Kimberly
Pearson
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3571-3578.
MSC (2000):
Primary 53C21;
Secondary 19L41, 19L64, 57R15, 55N15, 53C20
Posted:
April 24, 2003
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Abstract:
We prove the Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups, thereby giving necessary and sufficient conditions for a closed spin manifold of dimension greater than four with fundamental group cocompact Fuchsian to admit a metric of positive scalar curvature.
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Additional Information:
James
F.
Davis
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email:
jfdavis@indiana.edu
Kimberly
Pearson
Affiliation:
Department of Mathematics and Computer Science, Valparaiso University, Valparaiso, Indiana 46383
Email:
kpearson@valpo.edu
DOI:
10.1090/S0002-9939-03-06905-3
PII:
S 0002-9939(03)06905-3
Keywords:
Positive scalar curvature,
$K$-theory,
Fuchsian groups
Received by editor(s):
January 16, 2002
Received by editor(s) in revised form:
May 17, 2002
Posted:
April 24, 2003
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2003,
American Mathematical Society
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