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math.DG2022
The Lp Minkowski problem for q-torsional rigidity
Bin Chen, Xia Zhao, Weidong Wang +1
In this paper, we introduce the so-called -torsional measure for and by establishing the variational formula for the -torsional rigidity of…
math.DG2022★ 3 cited
Locally constrained flows and sharp Michael-Simon inequalities in hyperbolic space
Jingshi Cui, Peibiao Zhao
Brendle [6] successfully establishes the sharp Michael-Simon inequality for mean curvature on Riemannian manifolds with nonnegative sectional curvature (), and…
math.DG2022
An expanding curvature flow and the (p,q)-Christoffel-Minkowski problems
Bin Chen, Jingshi Cui, Peibiao Zhao
The present paper introduces a new class of geometric measures, the k-th (p,q)-mixed curvature measures, and a natural correspondence-(p,q)-Christoffel-Minkowski problem is propose…