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Sub-Riemannian Geodesics on the Multidimensional Heisenberg Group.
- Source :
-
Journal of Mathematical Sciences . Nov2023, Vol. 276 Issue 4, p541-551. 11p. - Publication Year :
- 2023
-
Abstract
- In this paper, we study the structure of truncated connections on the multidimensional Heisenberg group endowed with a left-invariant sub-Riemannian structure. We find that sub-Riemannian geodesic lines are parabolas whose orthogonal projections onto the corresponding contact planes are straight lines. In addition to such parabolas, some straight lines lying in contact planes are also geodesics. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GEODESICS
*ORTHOGRAPHIC projection
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 276
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 173725815
- Full Text :
- https://doi.org/10.1007/s10958-023-06776-5