An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group
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| Creator |
Hung-Lin Chiu
Yen-Chang Huang Sin-Hua Lai |
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| Description |
We show the fundamental theorems of curves and surfaces in the 3-dimensional Heisenberg group and find a complete set of invariants for curves and surfaces respectively. The proofs are based on Cartan's method of moving frames and Lie group theory. As an application of the main theorems, a Crofton-type formula is proved in terms of p-area which naturally arises from the variation of volume. The application makes a connection between CR geometry and integral geometry.
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| Date |
2019-02-18T19:57:59Z
2019-02-18T19:57:59Z 2017 |
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| Type |
Article
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| Identifier |
An Application of the Moving Frame Method to Integral Geometry in the Heisenberg Group / Hung-Lin Chiu, Yen-Chang Huang, Sin-Hua Lai // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53C15; 53C65; 32V20 DOI:10.3842/SIGMA.2017.097 http://dspace.nbuv.gov.ua/handle/123456789/148834 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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