References
W. Ambrose, A theorem of Myers. Duke Math. J.24, 345–348 (1957).
J. Cheeger andD. Gromoll, The splitting theorem for manifolds of nonnegative Ricci curvature. J. Differential Geom.6, 119–128 (1971).
C. Chicone andP. Ehrlich, Line integration of Ricci curvature and conjugate points in Lorentzian and Riemannian manifolds. Manuscripta Math.31, 297–316 (1980).
J.-H. Eschenburg andE. Heintze, An elementary proof of the Cheeger-Gromoll splitting theorem. Ann. Glob. Anal. and Geom.2, 141–151 (1984).
G. Galloway, Some results on the occurrence of compact minimal submanifolds. Manuscripta Math.35, 209–219 (1981).
G. Galloway, Compactness criteria for Riemannian manifolds. Proc. Amer. Math. Soc.84, 106–110 (1982).
H. Wu, An elementary method in the study of nonnegative curvature. Acta Math.142, 57–78 (1979).
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Galloway, G.J. A generalization of the Cheeger-Gromoll splitting theorem. Arch. Math 47, 372–375 (1986). https://doi.org/10.1007/BF01191365
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DOI: https://doi.org/10.1007/BF01191365