当前位置: X-MOL 学术Differ. Geom. Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Notion of H-orientability for surfaces in the Heisenberg group Hn
Differential Geometry and its Applications ( IF 0.6 ) Pub Date : 2020-10-28 , DOI: 10.1016/j.difgeo.2020.101701
Giovanni Canarecci

This paper aims to define and study a notion of orientability in the Heisenberg sense (H-orientability) for the Heisenberg group Hn. In particular, we define such notion for H-regular 1-codimensional surfaces. Analysing the behaviour of a Möbius Strip in H1, we find a 1-codimensional H-regular, but not Euclidean-orientable, subsurface. Lastly we show that, for regular enough surfaces, H-orientability implies Euclidean-orientability. As a consequence, we conclude that non-H-orientable H-regular surfaces exist in H1.



中文翻译:

的概念 H表面的定向性 Hñ

本文旨在定义和研究海森堡意义上的可定向性概念(H-可定位性Hñ。特别是,我们为H-规则的1维表面。分析莫比乌斯带的行为H1个,我们发现一个1维数 H-规则的,但不是面向欧几里得的地下。最后,我们表明,对于足够规则的表面,H定向性意味着欧几里得定向性。因此,我们得出以下结论:H面向 H-规则表面存在于 H1个

更新日期:2020-10-30
down
wechat
bug