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Timeline for convolution of surface measures

Current License: CC BY-SA 3.0

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Aug 27, 2013 at 18:34 comment added Peng I reviewed the Ragozin argument again, and it seems that as long as each of $M_1$ and $M_2$ contains a flat part and especially these two parts are parallel, then $d\sigma_1\ast d\sigma_2$ will definitely contain a singular part near the center of these two pieces. Am I right?
Aug 27, 2013 at 17:48 history undeleted Peng
Aug 27, 2013 at 17:47 history deleted Peng via Vote
Aug 27, 2013 at 17:21 history edited Peng CC BY-SA 3.0
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Aug 27, 2013 at 17:11 history edited Ben McKay CC BY-SA 3.0
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Aug 27, 2013 at 17:06 history edited Peng CC BY-SA 3.0
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Aug 27, 2013 at 16:58 comment added Peng I forgot to add a comment that it seems easy to see the convolution is absolutely continuous if the manifolds $M_1$ or $M_2$ does not contain any "flat" part, say they have no open subset with vanishing curvature.
Aug 27, 2013 at 16:39 history edited Yemon Choi
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Aug 27, 2013 at 16:26 history asked Peng CC BY-SA 3.0