Conformal Transformations on General ( α, β )-Spaces

Xiaoling Zhang (), Xuesong Zhang and Mengke Wu
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Xiaoling Zhang: College of Mathematics and Systems Sicence, Xinjiang University, Urumqi 830017, China
Xuesong Zhang: College of Mathematics and Systems Sicence, Xinjiang University, Urumqi 830017, China
Mengke Wu: College of Mathematics and Systems Sicence, Xinjiang University, Urumqi 830017, China

Mathematics, 2023, vol. 11, issue 15, 1-8

Abstract: In this paper, we study conformal transformations between two almost regular general ( α , β ) -metrics. By using the method of special coordinate system, the necessary and sufficient conditions for conformal transformations preserving the mean Landsberg curvature are obtained. Further, a rigidity theorem for regular general ( α , β ) -metrics is proved.

Keywords: general (?,?)-spaces; mean Landsberg curvature; conformal transformations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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