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math.DG2026
Sharp -Capacity Estimates via Quermassintegrals in Hyperbolic Space
Xiaoshang Jin, Yao Wan, Jie Xiao
This paper establishes sharp upper bounds for -capacities in the hyperbolic space through hyperbolic quermassintegrals and effective c…
math.DG2026
Weinstock inequality in hyperbolic space II
Pingxin Gu, Haizhong Li, Yao Wan
In this paper, we establish the Weinstock inequality for the first non-zero Steklov eigenvalue on star-shaped mean convex domains in hyperbolic space for .…
math.DG2026
On the Brunn-Minkowski inequality for -th dual quermassintegrals with
Haizhong Li, Yao Wan, Yijia Zhang
In this paper, we study the Brunn-Minkowski inequality for -th dual quermassintegrals with . This problem was recently posed by Sadovsky and Zhang. First, by a second varia…