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A note on the Yamabe problem of Randers metrics | ||
| AUT Journal of Mathematics and Computing | ||
| دوره 2، شماره 2، آذر 2021، صفحه 165-170 اصل مقاله (307.25 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2021.20199.1056 | ||
| نویسندگان | ||
| Bin Chen* ؛ Siwei Liu | ||
| School of Mathematical Sciences, Tongji University, Shanghai, China, 200092 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Randers metrics؛ C$$-convex؛ Yamabe problem | ||
| مراجع | ||
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[11] H. Yamabe, On the deformation of Riemannian structures on compact manfolds, Osaka Math. Jour., 12 (1960), 21-37. | ||
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