Browse > Article
http://dx.doi.org/10.4134/BKMS.2013.50.3.833

A NOTE ON THE GENERALIZED MYERS THEOREM FOR FINSLER MANIFOLDS  

Wu, Bing-Ye (Department of Mathematics Minjiang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 833-837 More about this Journal
Abstract
In this note we establish a generalized Myers theorem under line integral curvature bound for Finsler manifolds.
Keywords
Myers theorem; Ricci curvature; Finsler manifold;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 D. Bao, S. S. Chern, and Z. Shen, An Introduction to Riemann-Finsler Ggeometry, GTM 200, Springer-Verlag, 2000.
2 C. Chicone and P. Ehrlich, Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds, Manuscripta Math. 31 (1980), no. 1-3, 297-316.   DOI
3 G. J. Galloway, A generalization of Myers' theorem and an application to relativistic cosmology, J. Differential Geom. 14 (1979), no. 1, 105-116.   DOI
4 Z. Shen, Lectures on Finsler Geometry, World Sci., 2001, Singapore.
5 B. Y. Wu, Volume form and its applications in Finsler geometry, Publ. Math. Debrecen 78 (2011), no. 3-4, 723-741.   DOI
6 B. Y.Wu and Y. L. Xin, Comparison theorems in Finsler geometry and their applications, Math. Ann. 337 (2007), no. 1, 177-196.
7 J. G. Yun, A note on the generalized Myers theorem, Bull. Korean Math. Soc. 46 (2009), no. 1, 61-66.   과학기술학회마을   DOI   ScienceOn