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A note on the generalized Myers theorem for Finsler manifolds

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In this note we establish a generalized Myers theorem under line integral curvature bound for Finsler manifolds

Abstract

In this note we establish a generalized Myers theorem under line integral curvature bound for Finsler manifolds

참고문헌 (7)

  1. D. Bao, "An Introduction to Riemann-Finsler Ggeometry, In GTM 200" (2000), Springer-Verlag
  2. C. Chicone, "Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds", Manuscripta Math, 31(1), pp.297~316 (1980)
  3. G. J. Galloway, "A generalization of Myers’ theorem and an application to relativistic cosmology", J. Differential Geom, 14(1), pp.105~116 (1979)
  4. Z. Shen, "Lectures on Finsler Geometry" (2001), World Sci.
  5. B. Y. Wu, "Volume form and its applications in Finsler geometry", Publ. Math. Debrecen, 78(3), pp.723~741 (2011)
  6. B. Y.Wu, "Comparison theorems in Finsler geometry and their applications", Math. Ann, 337(1), pp.177~196 (2007)
  7. Jong-Gug Yun, "A note on the generalized Myers theorem", 대한수학회보, 46(1), pp.61~66 (2009), 대한수학회

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