The Manifolds with Ricci Curvature Decay to Zero

References

[1] J. Cheeger and D. Gromoll, “The Splitting Theorem for Manifolds of Nonnegative Ricci Curvature,” Journal of Differential Geometry, Vol. 6, 1971, pp. 119-128.

[2] H. Wu and W. H. Chen, “The Selections of Riemannian Geometry (in Chinese),” Publishing Company of Peking University, Beijing, 1993.

[3] M. L. Cai, “Ends of Riemannian Manifolds with NonNegative Ricci Curvature Outside a Compact Set,” Bulletin of the AMS (New Series), Vol. 24, 1991, pp. 371-377.
doi:10.1090/S0273-0979-1991-16038-6

[4] H. Karcher, “Riemannian Comparison Constructions,” In: Shiohama (Ed.), Geometry of Manifolds, Academic Press, San Diego, 1989, pp. 171-222.

[5] Z. Shen, “On Complete Manifolds of Nonnegative k-th Ricci Curvature,” Transactions of the AMS—American Mathematical Society, Vol. 338, No. 1, 1993, pp. 289-309. doi:10.2307/2154457