Stability, Finiteness and Dimension Four

Curtis Pro; Frederick Wilhelm

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arXiv · 2006.02450

Stability, Finiteness and Dimension Four

Curtis Pro·Frederick Wilhelm

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Abstract

We prove that for any $k\in \mathbb{R},$ $v>0,$ and $D>0$ there are only finitely many diffeomorphism types of closed Riemannian $4$-manifolds with sectional curvature $\geq k,$ volume $\geq v,$ and diameter $\leq D.$

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Curtis Pro, Frederick Wilhelm. 2020-06-03. Stability, Finiteness and Dimension Four. https://arxiv.org/abs/2006.02450

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