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math.DG2022
Rotational hypersurfaces with constant Gauss-Kronecker curvature
Yuhang Liu, Yunchu Dai
We study rotational hypersurfaces with constant Gauss-Kronecker curvature. We solve the ODE for the generating curves of such hypersurfaces and analyze several geometric properties…
math.DG2019
On Closed 6-Manifolds Admitting Riemannian Metrics with Positive Sectional Curvature and Non-Abelian Symmetry
Yuhang Liu
We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive sectional curvature which admit isometric actions by or . We show t…