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Mar 29, 2017 at 18:31 comment added Danny Ruberman There is an alternate proof of the Gao-Yau result by Robert Brooks, A construction of metrics of negative Ricci curvature. J. Differential Geom. 29 (1989), no. 1, 85–94.
Mar 29, 2017 at 15:29 history answered Mohan Ramachandran CC BY-SA 3.0