Improved theorem on curvature and manifold symmetry.
arXiv research
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Proves positive Euler characteristic for certain manifolds with positive second intermediate Ricci curvature.
We prove that an integral homology 3-sphere is S^3 if and only if it admits four periodic diffeomorphisms of odd prime orders whose space of orbits is S^3. As an application we show that an irreducible integral homology sphere which is not S^3 is the cyclic branched cover of odd prime order of at most four knots in S^3…
Research evaluates three risk models for portfolio construction during market downturns.
Unified theory explains housing cycle across metros, showing credit expansion impacts.