STABILITY OF THE ISOPERIMETRIC INEQUALITY IN HYPERBOLIC PLANE

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doi:10.1007/s10473-025-0117-7

摘要： In this paper, we establish a stability estimate for the isoperimetric inequality of horospherically convex domains in hyperbolic plane. This estimate involves a relationship between the Hausdorff distance to a geodesic ball and the deficit in the isoperimetric inequality, where the coefficient of the deficit is a universal constant.

关键词: stability, isoperimetric inequality, hyperbolic plane, Hausdorff distance

Abstract: In this paper, we establish a stability estimate for the isoperimetric inequality of horospherically convex domains in hyperbolic plane. This estimate involves a relationship between the Hausdorff distance to a geodesic ball and the deficit in the isoperimetric inequality, where the coefficient of the deficit is a universal constant.

Key words: stability, isoperimetric inequality, hyperbolic plane, Hausdorff distance

中图分类号:

52A55

Haizhong Li, Yao Wan. STABILITY OF THE ISOPERIMETRIC INEQUALITY IN HYPERBOLIC PLANE[J]. 数学物理学报(英文版), 2025, 45(1): 215-227.

Haizhong Li, Yao Wan. STABILITY OF THE ISOPERIMETRIC INEQUALITY IN HYPERBOLIC PLANE[J]. Acta mathematica scientia,Series B, 2025, 45(1): 215-227.

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