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math.DG2022
Kähler Finsler manifolds with curvatures bounded from below
Bin Chen, Nan Li, Siwei Liu
We obtain a partial parallelism of the complex structure on Kähler Finsler manifolds. As applications, we prove Synge-Tsukamoto theorem and Bonnet-Myers theorem for positively curv…
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
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…