References
[BG] P. Buser, D. Gromoll: Gromov's example of almost negatively curved metrics onS 3. (Preprint)
[EP] P. Eberlein: Lattices in spaces of nonpositive curvature. Ann. Math.111, 435–476 (1980)
[GZ] L.Z. Gao: The construction of negatively Ricci curved manifolds. Math. Ann.271, 185–208 (1985)
[HJ] J. Hempel: 3-manifolds. Ann. Math. Stud.86, Princeton University Press (1976)
[JW] W. Jaco: Lectures on three manifold topology. Ann. Math. Stud. Princeton University Press (1980)
[LTZZZ] T. Lawson: Representing link complements by identified polyhedra. (Preprint)
[MW] W. Menasco: Closed incompressible surfaces in alternating knot and link complements. Top. vol.23, 37–44 (1984)
[SY] Y.T. Siu, S.T. Yau: Compactification of negatively curved complete Kahler manifolds in finite volume. Ann. Math. Stud.102, Princeton University Press (1982)
[TW] W. Thurston: The geometry and topology of 3-manifolds. Princeton University Lecture Notes
Author information
Authors and Affiliations
Additional information
Supported in part by a National Science Foundation Grant. DMS-8502797
Supported in part by a National Science Foundation Grant
Rights and permissions
About this article
Cite this article
Gao, L.Z., Yau, S.T. The existence of negatively Ricci curved metrics on three manifolds. Invent Math 85, 637–652 (1986). https://doi.org/10.1007/BF01390331
Issue Date:
DOI: https://doi.org/10.1007/BF01390331