新疆大学数学与系统科学学院
纸质出版:2021
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[1]徐晓慧,张晓玲.具有弱迷向S曲率的卷积芬斯勒度量[J].新疆大学学报(自然科学版)(中英文),2021,38(06):681-684+698.
[1]徐晓慧,张晓玲.具有弱迷向S曲率的卷积芬斯勒度量[J].新疆大学学报(自然科学版)(中英文),2021,38(06):681-684+698. DOI: 10.13568/j.cnki.651094.651316.2020.10.20.0005.
DOI:10.13568/j.cnki.651094.651316.2020.10.20.0005.
本文利用张量分析的方法和偏微分方程的理论研究了具有弱迷向S曲率的卷积芬斯勒度量
得到其刻画方程.在此基础上得到了一系列具有消失S曲率的Douglas型卷积芬斯勒度量.
In this paper
by using tensor analysis and theories of PDEs
we study the Finsler warped product metric with weakly isotropic S curvature
and obtain the characterized equations. Furthermore
we construct a series of the Finsler warped product metrics of Douglas type with vanishing S curvature.
BISHOP R L, O’NEILL B. Manifolds of negative curvature[J]. Transactions of the American Mathematical, 1969, 145:1-49.
CHEN B, SHEN Z M, ZHAO L L. Constructions of Einstein Finsler metrics by warped product[J]. International Journal of Mathematics, 2018, 29(11):1850081.https://doi.org/10.1142/S0129167X18500817.
KOZMA L, PETER R, VARGA C. Warped product of Finsler manifolds[J]. Annales Universitatis Scientiarum Budapestinensis,2001, 44:157-170.
ASANOV G S. Finslerian metric functions over the product R×M and their potential applications[J]. Reports on Mathematical Physics, 1998, 41:117-132.
ALIPOUR-FAKHRI Y, REZAII M M. The warped Sasaki-Matsumoto metric and bundlelike condition[J]. Journal of Mathematical Physics, 2010, 51(12):122701. http://dx.doi.org/10.1063/1.3520636.
LIU H F, MO X H. Finsler warped product metrics of Douglas type[J]. Canadian Mathematical Bulletin, 2019, 62(1):119-130.
LIU H F, MO X H, ZHANG H Z. Finsler warped product metrics with special Riemannian curvature properties[J]. Science China Mathematics, 2020, 63(7):1391-1408.
SHEN Z M. Volume compsrison and its applications in Riemann-Finsler geometry[J]. Advances in Mathematics, 1997, 128(2):306-328.
SHEN Z M, XING H. On Randers metrics with isotropic S-curvature[J]. Acta Mathematica Sinica(English Series), 2008, 24(5):789-796.
杨国俊.具迷向S-曲率的Randers度量[J].数学学报(中文版), 2009, 52(6):1147-1156.YANG G J. On Randers metrics of isotropic S-curvature[J]. Acta Mathematica Sinica(Chinese series), 2009, 52(6):1147-1156.(in Chinese)
ZHOU L F. The spherically symmetric Finsler metrics with isotropic S-curvature[J]. Journal of Mathematical Analysis Applications, 2015, 431(2):1008-1021.
CHEN X Y, MO X H, SHEN Z M. On the flag curvature of Finsler metrics of scalar curvature[J]. London Mathematical Society,2003, 68(2):762-780.
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