Details

Autor(en) / Beteiligte

• Li, Hongjun
• Qiu, Chunhui
• Xia, Hongchuan
• Zhong, Guozhu

Titel

On conformal complex Finsler metrics

Ist Teil von

• Science China. Mathematics, 2022, Vol.65 (7), p.1517-1530

Ort / Verlag

Beijing: Science China Press

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we study conformal transformations in complex Finsler geometry. We first prove that two weakly Kähler Finsler metrics cannot be conformal. Moreover, we give a necessary and sufficient condition for a strongly pseudoconvex complex Finsler metric to be locally conformal weakly Kähler Finsler. Finally, we discuss conformal transformations of a strongly pseudoconvex complex Finsler metric, which preserve the geodesics, holomorphic S curvatures and mean Landsberg tensors.