On sprays with vanishing χ-curvature
| dc.contributor.author | Shen, Zhongmin | |
| dc.contributor.department | Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2022-09-07T21:04:50Z | |
| dc.date.available | 2022-09-07T21:04:50Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | Every Riemannian metric or Finsler metric on a manifold induces a spray via its geodesics. In this paper, we discuss several expressions for the χ-curvature of a spray. We show that the sprays obtained by a projective deformation using the S-curvature always have vanishing χ-curvature. Then we establish the Beltrami Theorem for sprays with χ=0. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Shen, Z. (2021). On sprays with vanishing χ-curvature. International Journal of Mathematics, 32(10), 2150069. https://doi.org/10.1142/S0129167X21500695 | en_US |
| dc.identifier.issn | 0129-167X, 1793-6519 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/29960 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | World Scientific | en_US |
| dc.relation.isversionof | 10.1142/S0129167X21500695 | en_US |
| dc.relation.journal | International Journal of Mathematics | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | Author | en_US |
| dc.subject | isotropic curvature | en_US |
| dc.subject | Sprays | en_US |
| dc.subject | χ-curvature | en_US |
| dc.subject | S -curvature | en_US |
| dc.title | On sprays with vanishing χ-curvature | en_US |
| dc.type | Article | en_US |