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1. • CommentRowNumber1.
   • CommentAuthorzskoda
   • CommentTimeFeb 8th 2010
   • PermaLink
   Author: zskoda
   Format: MarkdownI added a new section at [[curvature]] about the classical notion of curvature and renamed the idea section into Modern generalized ideas of curvature. The classical notion has to do with bending in a space, measured in some metrics. I wrote some story about it and moved the short mention of it in previous version into that first section on classical curvature. It should be beefed up with more details. I corrected the incorrect statement in the previous version that the curvature on fiber bundles generalized the Gaussian curvature. That is not true, the Gaussian curvature is the PRODUCT of the eigenvalues of the curvature operator, rather than a 2-form. Having said that, I wrote the entry from memory and I might have introduced new errors. Please check.

   I added a new section at curvature about the classical notion of curvature and renamed the idea section into Modern generalized ideas of curvature. The classical notion has to do with bending in a space, measured in some metrics. I wrote some story about it and moved the short mention of it in previous version into that first section on classical curvature. It should be beefed up with more details. I corrected the incorrect statement in the previous version that the curvature on fiber bundles generalized the Gaussian curvature. That is not true, the Gaussian curvature is the PRODUCT of the eigenvalues of the curvature operator, rather than a 2-form. Having said that, I wrote the entry from memory and I might have introduced new errors. Please check.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeFeb 8th 2010
   • (edited Feb 8th 2010)
   • PermaLink
   Author: zskoda
   Format: MarkdownMaybe in fact it was not wrong. Depend how one understands it. The other sites (wolframworld, wikipedia( have much about classical curvatures and related geometry and shamefully little about the modern version, which nlab is strong about. Of course. But we should also have more of the classical in long run. New entry [[natural parametrization]]. Hmmm... problems with uploading changes to the nlab at the moment.

   Maybe in fact it was not wrong. Depend how one understands it.

   The other sites (wolframworld, wikipedia( have much about classical curvatures and related geometry and shamefully little about the modern version, which nlab is strong about. Of course. But we should also have more of the classical in long run.

   New entry natural parametrization.

   Hmmm... problems with uploading changes to the nlab at the moment.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 8th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownThanks Zoran! Yes, the Lab seems be hanging. I'll see if I can restart it right now...

   Thanks Zoran!

   Yes, the Lab seems be hanging. I'll see if I can restart it right now...

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeFeb 8th 2010
   • PermaLink
   Author: Urs
   Format: Markdown.. restarted. (Andrew: I had to restart the Apache server. The "touch"-thing didn't show any effect.)

   .. restarted.

   (Andrew: I had to restart the Apache server. The "touch"-thing didn't show any effect.)