caa a22 4500 605461201 CHVBK 20210128100242.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10114-015-3519-y doi (NATIONALLICENCE)springer-10.1007/s10114-015-3519-y Zheng Shen Department of Mathematics, Beijing Jiaotong University, 100044, Beijing, P. R. China aut A local Hölder estimate of ( K 1, K 2)-quasiconformal mappings between hypersurfaces [Elektronische Daten] [Shen Zheng] In this paper, we prove a local Hölder estimate of (K 1,K 2)-quasiconformal mappings between n-dimensional hypersurfaces of R n+1 under 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 ℝ n+1. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 ( K 1, K 2)-quasiconformal mappings nationallicence isoperimetric inequality nationallicence co-area formula nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1379-1390 1439-8516 31:9<1379 2015 31 10114 https://doi.org/10.1007/s10114-015-3519-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3519-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zheng Shen Department of Mathematics, Beijing Jiaotong University, 100044, Beijing, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1379-1390 1439-8516 31:9<1379 2015 31 10114