User mustafa - MathOverflowmost recent 30 from http://mathoverflow.net2013-06-19T21:05:34Zhttp://mathoverflow.net/feeds/user/26207http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/6675/periods-and-commas-in-mathematical-writing/106461#106461Answer by Mustafa for Periods and commas in mathematical writingMustafa2012-09-05T22:06:34Z2012-09-05T22:06:34Z<p>I disagree with the convention to punctuate formulas. What does it bring to the reader, besides confusion? (one time, I confused a comma and a prime, and I wasted a lot of time). </p>
<p>The reader does not need punctuation after a formula anyway, because usually, he stops to understand it.</p>
<p>Math formulas already harbor a lot of indexes and signs, so adding punctuation does not help.</p>
http://mathoverflow.net/questions/106360/examples-of-manifolds-with-effective-circle-actionsExamples of manifolds with effective circle actions?Mustafa2012-09-04T16:00:33Z2012-09-05T19:29:36Z
<p>I would like to know examples of smooth compact connected manifolds, on which there exists an effective smooth circle action preserving a positive smooth volume, besides the simple example: $[0,1]^d \times \mathbb{S}^1$. Is there a classification of these manifolds?</p>
http://mathoverflow.net/questions/106360/examples-of-manifolds-with-effective-circle-actions/106376#106376Comment by MustafaMustafa2012-09-05T13:22:34Z2012-09-05T13:22:34ZI was primarily looking for elementary and "concrete" examples, that you provided in dimension 2. In dimension 3, Seifert manifolds can be examples, as mentioned by Liviu. The problem of classification may be too general indeed.http://mathoverflow.net/questions/106360/examples-of-manifolds-with-effective-circle-actionsComment by MustafaMustafa2012-09-05T12:33:12Z2012-09-05T12:33:12ZAn effective action of a group $G$ on $M$ is an action such that there is a set of full measure $F \subset M$ such that for any $x \in F$, there is $g \in G$ such that $gx \not\eq x$.
Yes, I allow boundary.