Gauss-Bonnet Theorem in Sub-Riemannian Heisenberg Space ℍ 1 $\mathbb H^{1}$-Reference-Cited by-同舟云学术

Gauss-Bonnet Theorem in Sub-Riemannian Heisenberg Space ℍ 1 $\mathbb H^{1}$

Published:2016-08-06 Issue:4 Volume:22 Page:807-820
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Diniz M. M.,Veloso J. M. M.

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s10883-016-9338-3.pdf

Reference10 articles.

1. Agrachev AA, Boscain U, Sigalotti M. A Gauss-Bonnet-like formula on two-dimensional almost Riemannian manifolds. Discr Contin Dyn Syst 2008;20(4):801–822.

2. Balogh Z, Tyson JT, Vecchi E. 2016. Sub-Riemannian curvature and a Gauss-Bonnet theorem in the Heisenberg group. arXiv: 1604.00180 .

3. Capogna L, Danielli D, Pauls SD, Tyson JT. An introduction to the Heisenberg Group and the sub-Riemannian isoperimetric problem. Basel, Boston: Birkhäuser; 2007.

4. Danielli D, Garofalo N, Nhieu DM. Sub-Riemannian calculus on hypersurfaces in Carnot groups. Adv Math 2007;215(1):292–378.

5. Falbel E, Veloso J, Verderesi J. Constant curvature models in sub-riemannian geometry. VIII Sch Differ Geom Mat Contemp 1993;4:119–125.

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