Volume 9, Issue 4 (12-2023)
mmr 2023, 9(4): 240-255 |
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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
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
2- Shahid Chamran University of Ahvaz
Abstract: (1010 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.
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
Received: 2022/01/27 | Revised: 2024/04/7 | Accepted: 2022/12/5 | Published: 2023/12/31 | ePublished: 2023/12/31
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