Einstein Finsler Metrics and Killing Vector Fields on Riemannian Manifolds
| dc.contributor.author | Cheng, Xinyue | |
| dc.contributor.author | Shen, Zhongmin | |
| dc.contributor.department | Department of Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2017-06-07T17:19:12Z | |
| dc.date.available | 2017-06-07T17:19:12Z | |
| dc.date.issued | 2017-01 | |
| dc.description.abstract | We use a Killing form on a Riemannian manifold to construct a class of Finsler metrics. We find equations that characterize Einstein metrics among this class. In particular, we construct a family of Einstein metrics on S3 with Ric = 2F2, Ric = 0 and Ric = -2F2, respectively. This family of metrics provides an important class of Finsler metrics in dimension three, whose Ricci curvature is a constant, but the flag curvature is not. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Cheng, X., & Shen, Z. (2017). Einstein Finsler metrics and killing vector fields on Riemannian manifolds. Science China Mathematics, 60(1), 83-98. doi:10.1007/s11425-016-0303-6 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/12892 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.isversionof | 10.1007/s11425-016-0303-6 | en_US |
| dc.relation.journal | Science China Mathematics | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | ArXiv | en_US |
| dc.subject | Killing vector field | en_US |
| dc.subject | Finsler metric | en_US |
| dc.subject | (a, ß)-metric | en_US |
| dc.title | Einstein Finsler Metrics and Killing Vector Fields on Riemannian Manifolds | en_US |
| dc.type | Article | en_US |