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A note on the generalized Myers theorem
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초록
We provide a generalized Myers theorem under integral curvature bound and use this result to obtain a closure theorem in general relativity.
Abstract
We provide a generalized Myers theorem under integral curvature bound and use this result to obtain a closure theorem in general relativity.
참고문헌 (11)
- J. Beem, "Global Lorentzian Geometry" (1996), Marcel Dekker
- C. Chicone, "Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds", Manuscripta Math, 31(1), pp.297~316 (1980)
- P. E. Ehrlich, "Volume comparison theorems for Lorentzian manifolds", Geom. Dedicata, 73(1), pp.39~56 (1998)
- P. E. Ehrlich, "Jacobians and volume compar-ison for Lorentzian warped products, Recent advances in Riemannian and Lorentzian geometries", Contemp. Math., Amer. Math. Soc.,Providence, RI, 337, pp.39~52 (2003)
- P. E. Ehrlich, "From the Riccati inequality to the Raychaudhuri equa-tion, Differential geometry and mathematical physics", Contemp. Math., Amer. Math. Soc., Providence, 170, pp.65~78 (1994)
- P. E. Ehrlich, "Some semi-Riemannian volume comparison theorems", Tohoku Math. J., 52(3), pp.331~348 (2000)
- T. Frankel, "Energy density and spatial curvature in general relativity", J. Math. Phys., 22(4), pp.813~817 (1981)
- G. J. Galloway, "A generalization of Myers' theorem and an application to relativistic cosmology", J. Differential Geom., 14(1), pp.105~116 (1979)
- S.-B. Kim, "A focal Myers-Galloway theorem on space-times", J. Korean Math. Soc., 31(1), pp.97~110 (1994)
- S.-H. Paeng, "Singularity theorem with weak timelike convergence condition", Preprint
- C. Sprouse, "Integral curvature bounds and bounded diameter", Comm. Anal. Geom., 8(3), pp.531~543 (2000)
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