Volume 9, Issue 4 (12-2023)                   mmr 2023, 9(4): 240-255 | Back to browse issues page

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Hedayatian S, Izadian N, Yar Ahmadi M. Reduce Douglas metric by using the concept of special Cartan curvature. mmr 2023; 9 (4) :240-255
URL: http://mmr.khu.ac.ir/article-1-3259-en.html
1- Shahid Chamran University of Ahvaz , Hedayatian@scu.ac.ir
2- Shahid Chamran University of Ahvaz
Abstract:   (463 Views)
In this paper, by using the concept of Cartan curvature,  the  Douglas metric reduce to  constant R.I   Landsberg metric  and if it's bounded, to  Riemannian one. Finally, it is shown that with a condition on Cartan curvature, Landsberg, weakly Landsberg and generalized Landsberg  metrics are equivalent.
Full-Text [PDF 374 kb]   (108 Downloads)    
Type of Study: S | Subject: Differential Geometry
Received: 2022/01/27 | Revised: 2024/04/7 | Accepted: 2022/12/5 | Published: 2023/12/31 | ePublished: 2023/12/31

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