TY - JOUR
ID - 3038
TI - (α, β)-Metrics with Killing β of Constant Length
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN -
AU - Tabatabaeifar, Tayebeh
AU - Najafi, Behzad
AD - Amirkabir university
AD - Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic)
Y1 - 2020
PY - 2020
VL - 1
IS - 1
SP - 27
EP - 36
KW - Finsler metric
KW - (α,β)-metric
KW - Einstein manifold
DO - 10.22060/ajmc.2018.3038
N2 - The class of (α,β)-metrics is a rich and important class of Finsler metrics, which is extensively studied. Here, we study (α,β)-metrics with Killing of constant length 1-form β and find a simplified formula for their Ricci curvatures. Then, weshow that if F=α+β+bfrac{β^2}{α} is an Einstein Finsler metric, then α is an Einstein Riemann metric.
UR - https://ajmc.aut.ac.ir/article_3038.html
L1 - https://ajmc.aut.ac.ir/article_3038_ec3b89402c7338eacb774d68fb1a1cb0.pdf
ER -