| NATURALLY REDUCTIVE(α1, α2) METRICS |
| |
| 作者姓名： | 谭举 许明 |
| |
| 作者单位： | 1. School of Microelectronics and Data Science, Anhui University of Technology;2. School of Mathematical Sciences, Capital Normal University |
| |
| 基金项目： | supported by the National Natural Science Foundation of China (12131012, 12001007, 11821101)；;the Beijing Natural Science Foundation (1222003,Z180004)；;the Natural Science Foundation of Anhui province (1908085QA03)； |
| |
| 摘 要： | Letting F be a homogeneous(α1, α2) metric on the reductive homogeneous manifold G/H, we first characterize the natural reductiveness of F as a local f-product between naturally reductive Riemannian metrics. Second, we prove the equivalence among several properties of F for its mean Berwald curvature and S-curvature. Finally, we find an explicit flag curvature formula for G/H when F is naturally reductive.
|
|
|
