The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups
James F. Davis, Kimberly Pearson
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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