MINIMAL SURFACES IN FINITE VOLUME NONCOMPACT HYPERBOLIC 3-MANIFOLDS (vol 209, pg 617, 2017)

被引:5
|
作者
Collin, Pascal [1 ]
Hauswirth, Laurent [2 ]
Mazet, Laurent [3 ]
Rosenberg, Harold [4 ]
机构
[1] Univ Paul Sabatier, Inst Math Toulouse, 118 Route Narbonne, F-31062 Toulouse, France
[2] Univ Paris Est, CNRS, UPEM, LAMA,UMR 8050, F-77454 Marne La Vallee, France
[3] Univ Tours, Univ Orldans, CNRS, Inst Denis Poisson,UMR 7013, Parc Grandmont, F-37200 Tours, France
[4] Inst Nacl Matemat Pura & Aplicada IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil
关键词
HYPERSURFACES;
D O I
10.1090/tran/7814
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note, we explain how a mistake made in [2] can be corrected. Actually, this mistake appears in the proof of [2, Proposition 8] (the second maximum principle) and was brought to our attention by Song [4]. Let us notice that unfortunately, we did not find an alternative proof of this proposition, but we found an alternative proposition. The new proposition does not change the subsequent applications we made of the original proposition. At the end of the note, we explain which modifications should be done where the original Proposition 8 is applied. The difference from the original Proposition 8 is that here we have to assume a control on the index of the minimal surface Sigma.
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页码:7521 / 7524
页数:4
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