TY - JOUR
ID - 4984
TI - On m-th root metrics of isotropic projective Ricci curvature
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Gabrani, Mehran
AU - Rezaei, Bahman
AU - Sengelen Sevim, Esra
AD - Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
AD - Faculty of Science, Urmia University, Urmia, Iran
AD - Department of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali
Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, Turkey
Y1 - 2023
PY - 2023
VL - 4
IS - 2
SP - 123
EP - 128
KW - Isotropic projective Ricci curvature
KW - Finsler metric
KW - m-th root metric
DO - 10.22060/ajmc.2022.21830.1113
N2 - The Ricci curvature is introduced by spray on Mn. Sprays are deformed to projective sprays with a volume form dV on Mn. The projective Ricci curvature is defined as the expression of Ricci curvature with sprays. With this paper, we use the new notion that is called weakly isotropic projective Ricci curvature. We have introduced the idea of weakly isotropic projective Ricci curvature in [3]. Then we study and characterize m-th root metrics of weakly isotropic projective Ricci curvature. We obtain that every m-th root metric of weakly isotropic projective Ricci curvature is projectively Ricci-flat.
UR - https://ajmc.aut.ac.ir/article_4984.html
L1 - https://ajmc.aut.ac.ir/article_4984_726e78219886e354785dbcc7d156f6fb.pdf
ER -