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Connections on Complex Finsler Manifold 被引量：1

Connections on Complex Finsler Manifold
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摘要 We introduce Finsler metric on complex manifold and discuss connections induced by this metric. We introduce Finsler metric on complex manifold and discuss connections induced by this metric.
作者 Rong-mu YanDepartment of Mathematics, Xiamen University, Xiamen 361005, China
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2003年第3期431-436,共6页 应用数学学报（英文版）
基金 the National Natural Science Foundation of China (No.10271097) Tian-yuan Foundation of China (No.TY10126033).
关键词 Complex Minkowski functional complex Finsler manifold Cartan scalar Berwald scalar Complex Minkowski functional complex Finsler manifold Cartan scalar Berwald scalar
分类号 O182 [理学—基础数学]
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参考文献10

  • 1Antonelli, P , Ingarden, R. Matsumoto, M. The theory of sprays and Finsler spaces with applications inphysics and biology. Kluwer Academic Publishers, ??, 1993.
  • 2Bao, D , Chern, S S. On a notable connection in Finsler geometry. Houston J Math , 19(1): 135-180(1993).
  • 3Bao, D , Chern, S S , Shen Z. Rigidity issues on Finsler surfaces. Rev. Roumaine. Math Pures Appl ,42:707-735 (1997).
  • 4Cartan, E. Les espazes de Finsler. Actualit6s 79, Paris, 1934.
  • 5Conway, J. A course in functional analysis (second edition). GTM 96, Springer-Verlag New York Inc ,Beijing, 154-158, 378- 383, 1990.
  • 6Finsler, P. uber Kurven Und Flachen in allgemeinen Raumen. Birkhauser Verlag, Basel, 1951.
  • 7Matsumoto, M. Foundations of Finsler geometry and special Finsler spaces. Kaiseisha Press, Japan. 1986.
  • 8Shen, Z. On a connection in Finsler geometry. Houston J Math , 20:591-602 (1994).
  • 9Szabo, Z. Positive definite Berwald spaces (Structure theorems on Berwald spaces). Tensor N S , 35:25-39(1981).
  • 10Wells, R. Differential analysis on complex manifolds. GTM 65, Springer-Verlag New York Inc , Beijing,65-84, 1980.

同被引文献14

  • 1Randers G.On an asymmetric metric in the four-space ofgeneral relativity[J].Phys Rev,1941,59:195-199.
  • 2Bao D,Chern S S,Shen Z M.An introduction to Riemann-Finsler geometry[M].New York:Springer-Verlag,2000.
  • 3Bao D,Robles C,Shen Z M.Zermelo navigation on Rie-mannian manifolds[J].J Diff Geom,2004,66:377-435.
  • 4Chen Xinyue,Shen Zhongmin.Randers metrics with spe-cial curvature properties[J].Osaka J Math,2003,40:87-101.
  • 5Chang Zhe.Finsler geometry vs.dark matter and dark en-ergy hypothesis[R/OL].[2009-11-17].http://www.itp.cas.cn/xshd/ls/200912/t20091201_2679550.html.
  • 6Zhong Chunping.A vanishing theorem on Kaehler Finslermanifolds[J].Diff Geom Appl,2009,27:551-565.
  • 7Qiu Chunhui.Integral formulas for(p,q)-differential fo-rms on complex Finsler manifolds[J].Science in China,series A,2003,33(3):161-171.
  • 8Munteanu G.Complex spaces in Finlser,Lagrange andHamilton geometries,fundamental theories of physics[M].Dordrecht:Kluwer Academic Publishers,2004.
  • 9Aikou T.On complex Finsler manifolds[J].Rep Fac SciKagoshima Univ(Math Phys Chem),1991,24:9-25.
  • 10Aldea N,Munteanu G.On complex Finsler spaces withRanders metric[J].J Korean Math Soc,2009,46(5):949-966.

引证文献1

Acta Mathematicae Applicatae Sinica
2003年 第3期

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