A note on the Yamabe problem of Randers metrics
The classical Yamabe problem in Riemannian geometry states that every conformal class contains a metric with constant scalar curvature. In Finsler geometry, the C-convexity is needed in general. In this paper, we study the strong C-convexity of Randers metrics, and provide a result on the Yamabe pro...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Amirkabir University of Technology
2021-09-01
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| Series: | AUT Journal of Mathematics and Computing |
| Subjects: | |
| Online Access: | https://ajmc.aut.ac.ir/article_4458_05cc1d53a244dc88558b0fd297221e6e.pdf |
| _version_ | 1797307169794686976 |
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| author | Bin Chen Siwei Liu |
| author_facet | Bin Chen Siwei Liu |
| author_sort | Bin Chen |
| collection | DOAJ |
| description | The classical Yamabe problem in Riemannian geometry states that every conformal class contains a metric with constant scalar curvature. In Finsler geometry, the C-convexity is needed in general. In this paper, we study the strong C-convexity of Randers metrics, and provide a result on the Yamabe problem for the metrics of Randers type. |
| first_indexed | 2024-03-08T00:52:22Z |
| format | Article |
| id | doaj.art-d9d3b0631043455ca1f55bda18a7cf08 |
| institution | Directory Open Access Journal |
| issn | 2783-2449 2783-2287 |
| language | English |
| last_indexed | 2024-03-08T00:52:22Z |
| publishDate | 2021-09-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Mathematics and Computing |
| spelling | doaj.art-d9d3b0631043455ca1f55bda18a7cf082024-02-14T19:37:44ZengAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492783-22872021-09-012216517010.22060/ajmc.2021.20199.10564458A note on the Yamabe problem of Randers metricsBin Chen0Siwei Liu1School of Mathematical Sciences, Tongji University, Shanghai, China, 200092School of Mathematical Sciences, Tongji University, Shanghai, China, 200092The classical Yamabe problem in Riemannian geometry states that every conformal class contains a metric with constant scalar curvature. In Finsler geometry, the C-convexity is needed in general. In this paper, we study the strong C-convexity of Randers metrics, and provide a result on the Yamabe problem for the metrics of Randers type.https://ajmc.aut.ac.ir/article_4458_05cc1d53a244dc88558b0fd297221e6e.pdfranders metricsc-convexyamabe problem |
| spellingShingle | Bin Chen Siwei Liu A note on the Yamabe problem of Randers metrics AUT Journal of Mathematics and Computing randers metrics c-convex yamabe problem |
| title | A note on the Yamabe problem of Randers metrics |
| title_full | A note on the Yamabe problem of Randers metrics |
| title_fullStr | A note on the Yamabe problem of Randers metrics |
| title_full_unstemmed | A note on the Yamabe problem of Randers metrics |
| title_short | A note on the Yamabe problem of Randers metrics |
| title_sort | note on the yamabe problem of randers metrics |
| topic | randers metrics c-convex yamabe problem |
| url | https://ajmc.aut.ac.ir/article_4458_05cc1d53a244dc88558b0fd297221e6e.pdf |
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