Timeline for Relation between separation of variables and Hessian properties
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 7, 2020 at 12:17 | comment | added | Robert Bryant | @DorianoBrogioli: Yes, that's true. In fact, any $f(x_1,y_1)$ satisfies the equation, but the generic one is not of the desired form. | |
| Sep 7, 2020 at 12:16 | comment | added | Doriano Brogioli | It seems that this very simple example works for every $n$. | |
| Sep 7, 2020 at 12:15 | vote | accept | Doriano Brogioli | ||
| Sep 7, 2020 at 12:11 | comment | added | Robert Bryant | @DorianoBrogioli: Yes, for example, let $f = x_1^2y_1+x_1y_1^2$. | |
| Sep 7, 2020 at 11:56 | comment | added | Doriano Brogioli | Could you please write an explicit example of $f$ which meets the first equation but not the second, for the 2D case? | |
| Sep 7, 2020 at 11:45 | history | answered | Robert Bryant | CC BY-SA 4.0 |