Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group (vol 287, pg 1, 2017)

被引：12

作者：

Balogh, Zoltan M. ^{[1
]}

Tyson, Jeremy T. ^{[2
]}

Vecchi, Eugenio ^{[3
]}

机构：

[1] Univ Bern, Math Inst, Sidlerstr 5, CH-3012 Bern, Switzerland

[2] Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA

[3] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, Italy

来源：

MATHEMATISCHE ZEITSCHRIFT | 2020年 / 296卷 / 1-2期

基金：

瑞士国家科学基金会; 美国国家科学基金会;

关键词：

D O I：

10.1007/s00209-019-02234-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the publication [1] there is an unfortunate computational error, which however does not affect the correctness of the main results.

引用

页码：875 / 876

页数：2

共 9 条

[1] Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
Balogh, Zoltan M.
Tyson, Jeremy T.
Vecchi, Eugenio
[J]. MATHEMATISCHE ZEITSCHRIFT, 2017, 287 (1-2) : 1 - 38
[2] Intrinsic curvature of curves and surfaces and a Gauss–Bonnet theorem in the Heisenberg group
Zoltán M. Balogh
Jeremy T. Tyson
Eugenio Vecchi
[J]. Mathematische Zeitschrift, 2017, 287 : 1 - 38
[3] Correction to: Intrinsic curvature of curves and surfaces and a Gauss–Bonnet theorem in the Heisenberg group
Zoltán M. Balogh
Jeremy T. Tyson
Eugenio Vecchi
[J]. Mathematische Zeitschrift, 2020, 296 : 875 - 876
[4] The Sub-Riemannian Limit of Curvatures for Curves and Surfaces and a Gauss-Bonnet Theorem in the Rototranslation Group
Liu, Haiming
Miao, Jiajing
Li, Wanzhen
Guan, Jianyun
[J]. JOURNAL OF MATHEMATICS, 2021, 2021
[5] Gauss-Bonnet Theorem Related to the Semi-Symmetric Metric Connection in the Heisenberg Group
Liu, Haiming
Peng, Song
[J]. SYMMETRY-BASEL, 2024, 16 (06):
[6] Gauss-Bonnet Theorems for Lorentzian and Spacelike Surfaces Associated to Canonical Connections in the Lorentzian Heisenberg Group
Liu, H.
Guan, J.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2023, 64 (02) : 471 - 499
[7] The Sub-Riemannian Limit of Curvatures for Curves and Surfaces and a Gauss-Bonnet Theorem in the Group of Rigid Motions of Minkowski Plane with General Left-Invariant Metric
Guan, Jianyun
Liu, Haiming
[J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
[8] The total intrinsic curvature of curves in Riemannian surfaces (vol 70, pg 521, 2021)
Mucci, Domenico
Saracco, Alberto
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (02) : 1137 - 1138
[9] Gauss-Bonnet Theorem in Sub-Riemannian Heisenberg Space ℍ1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb H^{1}$\end{document}
M. M. Diniz
J. M. M. Veloso
[J]. Journal of Dynamical and Control Systems, 2016, 22 (4) : 807 - 820

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