On mean Cartan torsion of Finsler metrics

• Date: 2023
• Main Authors: Nezhad, A. Dehghan, Beizavi, S.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6875
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 514.7 We prove  that Finsler manifolds with unbounded mean Cartan torsion cannot be isometrically imbedded into any Minkowski space.  We also study the generalized Randers metrics obtained by the Rizza structure and show that any generalized Randers metric...