The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups

Mathematics – Differential Geometry

Scientific paper

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6 pages

Scientific paper

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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