On the projective Ricci curvature
| dc.contributor.author | Shen, Zhongmin | |
| dc.contributor.author | Sun, Liling | |
| dc.contributor.department | Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2022-01-11T19:53:35Z | |
| dc.date.available | 2022-01-11T19:53:35Z | |
| dc.date.issued | 2020-07 | |
| dc.description.abstract | The notion of the Ricci curvature is defined for sprays on a manifold. With a volume form on a manifold, every spray can be deformed to a projective spray. The Ricci curvature of a projective spray is called the projective Ricci curvature. In this paper, we introduce the notion of projectively Ricci-flat sprays. We establish a global rigidity result for projectively Ricci-flat sprays with nonnegative Ricci curvature. Then we study and characterize projectively Ricci-flat Randers metrics. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Shen, Z., & Sun, L. (2020). On the projective Ricci curvature. Science China Mathematics. https://doi.org/10.1007/s11425-020-1705-x | en_US |
| dc.identifier.issn | 1869-1862 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/27352 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.isversionof | 10.1007/s11425-020-1705-x | en_US |
| dc.relation.journal | Science China Mathematics | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | Author | en_US |
| dc.subject | Ricci curvature | en_US |
| dc.subject | projective spray | en_US |
| dc.subject | projectively Ricci-flat sprays | en_US |
| dc.title | On the projective Ricci curvature | en_US |
| dc.type | Article | en_US |
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