Finsler Warped Product Metrics of Douglas Type
Canadian mathematical bulletin, Tome 62 (2019) no. 1, pp. 119-130
Voir la notice de l'article provenant de la source Cambridge
In this paper, we study the warped structures of Finsler metrics. We obtain the differential equation that characterizes Finsler warped product metrics with vanishing Douglas curvature. By solving this equation, we obtain all Finsler warped product Douglas metrics. Some new Douglas Finsler metrics of this type are produced by using known spherically symmetric Douglas metrics.
Mots-clés :
Finsler metric, warped product, Douglas metric, spherically symmetric metric
Liu, Huaifu; Mo, Xiaohuan. Finsler Warped Product Metrics of Douglas Type. Canadian mathematical bulletin, Tome 62 (2019) no. 1, pp. 119-130. doi: 10.4153/CMB-2017-077-0
@article{10_4153_CMB_2017_077_0,
author = {Liu, Huaifu and Mo, Xiaohuan},
title = {Finsler {Warped} {Product} {Metrics} of {Douglas} {Type}},
journal = {Canadian mathematical bulletin},
pages = {119--130},
year = {2019},
volume = {62},
number = {1},
doi = {10.4153/CMB-2017-077-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-077-0/}
}
TY - JOUR AU - Liu, Huaifu AU - Mo, Xiaohuan TI - Finsler Warped Product Metrics of Douglas Type JO - Canadian mathematical bulletin PY - 2019 SP - 119 EP - 130 VL - 62 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-077-0/ DO - 10.4153/CMB-2017-077-0 ID - 10_4153_CMB_2017_077_0 ER -
Cité par Sources :