Tóth, Annamária and Kovács, Zoltán (2008) On the geometry of two-step nilpotent groups with left invariant Finsler metrics. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 24 (1). pp. 155-168. ISSN 0866-0174
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Abstract
We begin a systematic study of these spaces following Eberlein's comprehensive study in the Riemannian case. In particular, for some special groups (including Heisenberg groups) we give an explicit form for the Chern-Rund connection, study the curvature and the flag curvature, and derive the equations of relative geodesics.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 01 Feb 2024 10:02 |
| Last Modified: | 01 Feb 2024 10:02 |
| URI: | http://real.mtak.hu/id/eprint/186958 |
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