논문KCI 등재
On general $(\alpha,\beta)$-metrics with isotropic $E$-curvature
0
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
General $(\alpha,\beta)$-metrics form a rich and important class of Finsler metrics. In this paper, we obtain a differential equation which characterizes a general $(\alpha,\beta)$-metric with isotropic $E$-curvature, under a certain condition. We also solve the equation in a particular case.
Abstract
General $(\alpha,\beta)$-metrics form a rich and important class of Finsler metrics. In this paper, we obtain a differential equation which characterizes a general $(\alpha,\beta)$-metric with isotropic $E$-curvature, under a certain condition. We also solve the equation in a particular case.
참고문헌 (13)
- X. Chen, "On Douglas metrics", Publ. Math. Debrecen, 66(3-4), pp.503~512 (2005)
- Y. Chen, "Spherically symmetric Finsler metrics with isotropic Ecurvature", J. Math. Res. Appl., 35(5), pp.561~567 (2015)
- S.-S. Chern, "Finsler geometry is just Riemannian geometry without the quadratic restriction", Notices Amer. Math. Soc., 43(9), pp.959~963 (1996)
- B. Li, "Projectively flat fourth root Finsler metrics", Canad. Math. Bull., 55(1), pp.138~145 (2012)[DOI]
- S. F. Rutz, "Symmetry in Finsler spaces, Contemp. Math., 196", pp.289~300 (1995)
- Z. Shen, "Differential Geometry of Spray and Finsler Spaces" (2001), Kluwer Academic Publishers
- A. Tayebi, "Some curvature properties of Cartan spaces with mth root metrics", Lith. Math. J., 54(1), pp.106~114 (2014)[DOI]
- A. Tayebi, "S-curvature of isotropic Berwald metrics", Sci. China Ser. A, 51(12), pp.2198~2204 (2008)[DOI]
- C. Yu, "On dually flat general (<TEX>${\alpha},{\beta}$<", TEX>)-metrics, 2015, pp.40, 111~122
- C. Yu, "On a new class of Finsler metrics", Differential Geom. Appl., 29(2), pp.244~254 (2011)[DOI]
- C. Yu, "Projectively flat general (<TEX>${\alpha},{\beta}$<", TEX>)-metrics with constant ag curvature, 2015, pp.429(2), 1222~1239
- Hongmei Zhu, "On a class of Finsler metrics with isotropic Berwald curvature", 대한수학회보, 54(2), pp.399~416 (2017), 대한수학회
- M. Zohrehvand, "On general <TEX>${\alpha},{\beta}$<", TEX>)-metrics of Landsberg type, 2016, pp.19(6), 1650085~
관련 논문AI추천
On a class of Finsler metrics with isotropic Berwald curvatureHongmei Zhu대한수학회 · 대한수학회보2017 · 제54권 제2호On a class of locally projectively flat general (α, β)-metricsHongmei Zhu, Xiaohuan Mo대한수학회 · 대한수학회보2017 · 제54권 제4호On Semi C-Reducibility of General (alpha, beta) Finsler MetricsBankteshwar Tiwari, Ghanashyam Kr. Prajapati, Ranadip Gangopadhyay경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호Finsler metrics with reversible geodesicsQiaoling Xia대한수학회 · 대한수학회보2020 · 제57권 제6호On Finsler metrics of constant S-curvatureXiaohuan Mo, Xiaoyang Wang대한수학회 · 대한수학회보2013 · 제50권 제2호Projectively flat Finsler spaces with certain $(\alpha, \beta)$-metrics김병두, 박하용, 박홍서, 최은서대한수학회 · 대한수학회보2003 · 제40권 제4호
이 간행물의 다른 논문 (10건)
A general Ricci flow systemJia-Yong Wupp. 253-292Density of the homotopy minimal periods of maps on infra-solvmanifolds of type $\R$Xuezhi Zhao, 이종범pp. 293-311Normal weighted Bergman type operators on mixed norm spaces over the ball in $\mathbb C^n$Albert I. Petrosyan, Karen L. Avetisyanpp. 313-326A homotopy continuation method for solving a matrix equationYuhai Zhang, Jing Lipp. 327-342Generation of ray class fields modulo 2, 3, 4 or 6 by using the Weber function정호윤, 신동화, 구자경pp. 343-372
