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Mar 29, 2017 at 15:29 answer added Mohan Ramachandran timeline score: 6
Mar 29, 2017 at 14:18 answer added Bruno Martelli timeline score: 8
Mar 29, 2017 at 13:44 history edited DLIN CC BY-SA 3.0
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Mar 29, 2017 at 10:51 comment added DLIN @SebastianGoette Yes, you are right. I mean any metric, actually I guess, such a manifold $Y$ admits a positive scalar curvture.
Mar 29, 2017 at 10:25 comment added Sebastian Goette If you mean the metric induced from the ambient Euclidean metric on $\mathbb R^4$, the answer is no. Take a point of maximal distance from the origin. Then all sectional curvatures are $> 0$ at this point, because $Y$ touches a round sphere from the interior.
Mar 29, 2017 at 9:03 history asked DLIN CC BY-SA 3.0