三维海森堡群上的左不变 Randers 度量
微分几何
2015-11-18 v2
摘要
在前文 [MR2430243] 中，我们计算了二步幂零群上一般左不变 Finsler 度量的曲率和旗曲率等几何量。在本文中，我们对三维海森堡群上由左不变 Randers 度量定义的 Chern--Rund 联络给出了更完整的描述。
引用
@article{arxiv.1310.7306,
title = {Left invariant Randers metrics on the 3-dimensional Heisenberg group},
author = {A. Lengyelné Tóth and Z. Kovács},
journal= {arXiv preprint arXiv:1310.7306},
year = {2015}
}
备注
A section 'The flag curvature of left invariant Randers metrics on 3-dimensional Heisenberg group' was added. Two new references were added. Some misprints in (13), (14) and in the proof of Corollary 3.8. were corrected