The general relatively isotropic mean Landsberg metrics contain the general relatively isotropic Landsberg metrics. A class of Finsler metrics is given, in which the mentioned two concepts are equivalent. In this paper, an interpretation of general relatively isotropic mean Landsberg metrics is found by using C-conformal transformations. Some necessary conditions for a general relatively isotropic mean Landsberg metric, as well as generalized Landsberg metric to be a Riemannian metric are also found.
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East China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R ChinaEast China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
Chen, Guangzu
Liu, Lihong
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East China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R ChinaEast China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
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Chongqing Univ Technol, Sch Math & Stat, Chongqing 400054, Peoples R ChinaChongqing Univ Technol, Sch Math & Stat, Chongqing 400054, Peoples R China
Cheng, Xinyue
Yuan, Mingao
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Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USAChongqing Univ Technol, Sch Math & Stat, Chongqing 400054, Peoples R China
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Univ Nantes, Lab Math Jean Leray, 2 Rue Houssiniere, F-44300 Nantes, FranceUniv Nantes, Lab Math Jean Leray, 2 Rue Houssiniere, F-44300 Nantes, France
Dussaule, Matthieu
Gekhtman, Ilya
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Univ Toronto, Dept Math, 40 St George St, Toronto, ON, CanadaUniv Nantes, Lab Math Jean Leray, 2 Rue Houssiniere, F-44300 Nantes, France