Timeline for Research topics in Curves and Surfaces [closed]
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 25, 2016 at 7:07 | history | closed |
Michael Renardy Deane Yang Wolfgang Stefan Waldmann András Bátkai |
Needs more focus | |
| Jul 25, 2016 at 2:51 | comment | added | Ian Agol | The Caratheodory conjecture still receives attention, in spite of claims of resolution. en.wikipedia.org/wiki/Carath%C3%A9odory_conjecture | |
| Jul 25, 2016 at 0:55 | comment | added | Deane Yang | Also, in convex geometry, which is the study of convex bodies in Euclidean space, which in turn is equivalent to the study of their boundaries (convex hypersurfaces). Here, there are still unanswered important questions in integral geometry, which is not differential geometry but is very closely linked to it. | |
| Jul 25, 2016 at 0:53 | comment | added | Deane Yang | I would say that the most actively studied topics are about how surfaces behave under so-called geometric heat flows and about characterizing critical points (especially the global minima) of certain energy functionals involving the curvature of a surface. The recent work of Marques and Neves on the Willmore conjecture is a good example of this. | |
| Jul 24, 2016 at 23:41 | comment | added | 54321user | Not every student is so lucky that the professors working in the field they're interested in are willing/have time to give a project and mentor it. | |
| Jul 24, 2016 at 23:10 | review | Close votes | |||
| Jul 25, 2016 at 7:07 | |||||
| Jul 24, 2016 at 22:53 | comment | added | Gerry Myerson | Probably a good question to ask one of the mathematicians at your university. | |
| Jul 24, 2016 at 22:35 | history | asked | Vincenzo Zaccaro | CC BY-SA 3.0 |