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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)
- D. Bao, "An Introduction to Riemann-Finsler Ggeometry, In GTM 200" (2000), Springer-Verlag
- C. Chicone, "Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds", Manuscripta Math, 31(1), pp.297~316 (1980)
- G. J. Galloway, "A generalization of Myers’ theorem and an application to relativistic cosmology", J. Differential Geom, 14(1), pp.105~116 (1979)
- Z. Shen, "Lectures on Finsler Geometry" (2001), World Sci.
- B. Y. Wu, "Volume form and its applications in Finsler geometry", Publ. Math. Debrecen, 78(3), pp.723~741 (2011)
- B. Y.Wu, "Comparison theorems in Finsler geometry and their applications", Math. Ann, 337(1), pp.177~196 (2007)
- Jong-Gug Yun, "A note on the generalized Myers theorem", 대한수학회보, 46(1), pp.61~66 (2009), 대한수학회
관련 논문AI추천
Generalized Myers theorem for Finsler manifolds with integral Ricci curvature boundBing-Ye Wu대한수학회 · 대한수학회보2019 · 제56권 제4호Comparison theorems in Riemann-Finsler geometry with line radial integral curvature bounds and related resultsBing-Ye Wu대한수학회 · 대한수학회지2019 · 제56권 제2호Harmonic Finsler manifolds with minimal horospheres김창완대한수학회 · 대한수학회논문집2018 · 제33권 제3호A note on the generalized Myers theoremJong-Gug Yun대한수학회 · 대한수학회보2009 · 제46권 제1호On homogeneous square Einstein metricsShaoqiang Deng, Xingda Liu대한수학회 · 대한수학회보2017 · 제54권 제3호A note on the volume comparison of tubes around geodesics윤종국대한수학회 · 대한수학회논문집2008 · 제23권 제4호
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