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math.DG2025
Quantitative Stability of the Clifford Torus as a Willmore Minimizer
Yuchen Bi, Jie Zhou
For an integral -varifold with square-integrable mean curvature, unit density, and support of genus at least , assume that its Willmore energy satisfi…
math.DG2025
Mass-capacity inequality modeled on conformally flat manifolds
Yuchen Bi, Jintian Zhu
In the spin case, we can establish a mass-capacity inequality for generalized asymptotically flat manifolds with nonnegative scalar curvature, where the equality implies…