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Feb 3, 2015 at 13:45 comment added Luis Guijarro I am not sure if I am wrong, but does this not follow from each of the fibers $\{p\}\times \mathbb{R}^{n-k}$ being totally geodesic (Strake's splitting being a metric splitting)?
Sep 13, 2012 at 10:11 history asked malik CC BY-SA 3.0