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A NOTE ON THE GENERALIZED MYERS THEOREM FOR FINSLER MANIFOLDS
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 Title & Authors
A NOTE ON THE GENERALIZED MYERS THEOREM FOR FINSLER MANIFOLDS
Wu, Bing-Ye;
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 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;
 Language
English
 Cited by
1.
Two Compactness Theorems on Finsler Manifolds with Positive Weighted Ricci Curvature, Results in Mathematics, 2017, 72, 1-2, 319  crossref(new windwow)
 References
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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. crossref(new window)

3.
G. J. Galloway, A generalization of Myers' theorem and an application to relativistic cosmology, J. Differential Geom. 14 (1979), no. 1, 105-116.

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. crossref(new window)

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. crossref(new window)