A note on the Yamabe problem of Randers metrics

	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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