Timeline for viewing the second fundamental form as a tensor
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Feb 18, 2011 at 9:47 | comment | added | Francesco Polizzi | I added in the answer a theorem of Landsberg that seems related to what you are looking for | |
| Feb 18, 2011 at 9:40 | history | edited | Francesco Polizzi | CC BY-SA 2.5 |
added 774 characters in body; added 1 characters in body; added 3 characters in body
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| Feb 17, 2011 at 14:05 | comment | added | Jimmy | Sorry, the formatting is not good. Please refer to the original post (modified). | |
| Feb 17, 2011 at 13:45 | comment | added | Jimmy | Thank you. But I think the point is mainly to $\emph{view the second fundamental form as a three-way tensor}$. Especially, will the tensor rank tell us something about the infinitesimal variation of the tangent space in the neighborhood? There is some claim that I would like to see: for some point $p\in X$, if there is an affine space $S\subseteq X$ passing through $p$ (in some neighborhood of $p$) then the tensor rank of $II_p$ is somehow bounded by the tensor rank. Thank you again. | |
| Feb 17, 2011 at 9:14 | history | answered | Francesco Polizzi | CC BY-SA 2.5 |