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

XML Persian Abstract Print

Reduce Douglas metric by using the concept of special Cartan curvature
Sina Hedayatian 1, Neda Izadian2 , Mohammad Yar Ahmadi2
1- Shahid Chamran University of Ahvaz , Hedayatian@scu.ac.ir
2- Shahid Chamran University of Ahvaz
Abstract:   (414 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.
Keywords: Cartan curvature, Douglas metric, weakly and generalized Landsberg metrics.
Full-Text [PDF 374 kb]   (91 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
Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.