扭积芬斯勒流形的某些曲率性质

冯娅璐; 张晓玲

doi:10.13568/j.cnki.651094.651316.2022.03.09.0003

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扭积芬斯勒流形的某些曲率性质

更新时间：2026-01-21

- 扭积芬斯勒流形的某些曲率性质
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 40, Issue 1, Pages: 43-48(2023)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2022.03.09.0003
  CLC： O186.1
- Published：2023
- 稿件说明：
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[1]冯娅璐,张晓玲.扭积芬斯勒流形的某些曲率性质[J].新疆大学学报(自然科学版)(中英文),2023,40(01):43-48.
[1]冯娅璐,张晓玲.扭积芬斯勒流形的某些曲率性质[J].新疆大学学报(自然科学版)(中英文),2023,40(01):43-48. DOI： 10.13568/j.cnki.651094.651316.2022.03.09.0003.

DOI：10.13568/j.cnki.651094.651316.2022.03.09.0003.

摘要

基于共形平坦定义和已知结论

利用偏微分方程理论完全刻画了扭积芬斯勒度量分别是Berwald度量或局部闵可夫斯基度量的等价条件

并构造了两类非黎曼且共形于局部闵可夫斯基扭积芬斯勒度量的新的芬斯勒度量的例子.

Abstract

Based on the definition of conformal flatness and known conclusions

we completely characterize two equivalent conditions that Finsler warped product metrics are Berwald metrics or locally Minkowskian metrics by using theories of PDEs. Furthermore

we construct examples of two new Finsler metrics that are non-Riemannian and conformal to the locally Minkowskian Finsler warped product metrics.

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references

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