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Positive sectional curvature and non-isometric circle actions on a family of eleven-spheres

Deng, Shaoqiang et al.
arXiv (All) · Papers
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differential-geometry
We study the construction of positively curved Riemannian metrics by non-isometric circle actions. For a family of homotopy eleven-spheres whose Eells--Kuiper invariants form the even subgroup of $\mathbb{Z}/992$, we construct, on each member, a smooth background metric $q$ and three effective circl
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