Almost Nonnegative Curvature on Some Fake $R{P}^{6}s$ and $R{P}^{14}s$

Priyanka Rajan, Frederick Wilhelm

We apply the lifting theorem of Searle and the second author to put metrics of almost nonnegative curvature on the fake RP^{6}s of Hirsch and Milnor and on the analogous fake RP^{1…