User sita - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T05:13:20Z http://mathoverflow.net/feeds/user/15197 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/127237/mean-value-theorem-for-harmonic-functions-on-ellipsoid Mean value theorem for harmonic functions on ellipsoid Sita 2013-04-11T12:43:01Z 2013-04-12T13:04:51Z <p>Is there any result like the mean value theorem for harmonic functions on ellipsoids (instead of sphere)?</p> http://mathoverflow.net/questions/82914/lagrangian-submanifold-containing-a-curve Lagrangian submanifold containing a curve Sita 2011-12-07T22:10:37Z 2011-12-08T03:41:49Z <p>Suppose $(M,\omega)$ is a compact symplectic manifold and $C$ a closed curve in it. Is there a Lagrangian submanifold containing $C$? I have a sequence of $J_i$-holomorphic maps from a disk to $M$, and all the maps are identical on the boundary of the disk. So, if I know that the image of the boundary is contained in a Lagrangian submanifold, I can apply Gromov convergence. </p> http://mathoverflow.net/questions/76082/holomorphic-map-from-a-neighborhood-in-mathbb-c-to-s3 Holomorphic map from a neighborhood in $\mathbb C$ to S^3 Sita 2011-09-21T20:54:48Z 2011-09-22T00:56:21Z <p>Does there exist a holomorphic map from a neighborhood of $\mathbb C$ to $S^3 \subseteq \mathbb C^2$?</p> http://mathoverflow.net/questions/69474/where-can-i-find-an-english-translation-of-grauerts-paper Where can I find an English translation of Grauert's paper? Sita 2011-07-04T15:35:37Z 2011-07-04T15:35:37Z <p>The german title is : Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen.</p> http://mathoverflow.net/questions/65336/is-g-bundle-over-1-skeleton-trivial Is G-bundle over 1-skeleton trivial Sita 2011-05-18T14:42:48Z 2011-05-19T11:39:54Z <p>Let $G$ be a connected Lie group, and $P \rightarrow M$ a principal G-bundle. Is $P$ trivial over the 1-skeleton of $M$. If yes, what is a reference? More generally, over the $n$-skeleton, $G$-bundles are classified by $\pi_{n-1}(G)$. How does one see this, or is there a good reference?</p> http://mathoverflow.net/questions/82914/lagrangian-submanifold-containing-a-curve Comment by Sita Sita 2011-12-08T15:40:11Z 2011-12-08T15:40:11Z Sam: the derivative of the maps on the boundary are bounded, but I am not able to show that there is no energy escaping to the boundary. i.e I can't show that the derivatives are bounded in neighbourhoods of boundary points. http://mathoverflow.net/questions/76082/holomorphic-map-from-a-neighborhood-in-mathbb-c-to-s3 Comment by Sita Sita 2011-09-21T21:19:07Z 2011-09-21T21:19:07Z Thanks for pointing out the typo. http://mathoverflow.net/questions/69474/where-can-i-find-an-english-translation-of-grauerts-paper Comment by Sita Sita 2011-07-05T13:02:18Z 2011-07-05T13:02:18Z Thank you. I will look into it. Is Grauert's argument shown in any book?