학술논문
On open manifolds admitting no complete metric with positive scalar curvature
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Working Paper
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Abstract
In this paper, we investigate the topological obstruction problem for positive scalar curvature and uniformly positive scalar curvature on open manifolds. We present a definition for open Schoen-Yau-Schick manifolds and prove that there is no complete metric with positive scalar curvature on these manifolds. Similarly, we define weak Schoen-Yau-Shick manifolds by analogy, which are expected to admit no complete metrics with uniformly positive scalar curvature.
Comment: 27pages, 3 figures, all comments are welcome
Comment: 27pages, 3 figures, all comments are welcome