ALocalHlderEstimateof（K1,K2）-QuasiconformalMappingsbetweenHypersurfaces

被引：0
|
作者：
Shen Zhou ZHENG
机构：
[1] DepartmentofMathematics,BeijingJiaotongUniversity
来源：
ActaMathematicaSinica | 2015年 / 31卷 / 09期
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中图分类号：
O186.11 [古典微分几何];
学科分类号：
摘要：
In this paper, we prove a local H¨older estimate of(K1, K2)-quasiconformal mappings between n-dimensional hypersurfaces of Rn+1under an assumption of bounded mean curvature of the original hypersurface M. With some new ingredients of the isoperimetric inequality and the co-area formula on manifolds, we extend Simon's work of quasiconformal mappings on surfaces of R3 to the setting of n-dimensional hypersurfaces of Rn+1.
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页码：1379 / 1390
页数：12
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