Timeline for Trying to understand a visualization of contravariant and covariant bases
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 27, 2020 at 19:37 | comment | added | Nikodem | The metric structure is not necessary here. It is enough to speak about differentials (differential forms) and partial derivatives. | |
| Jul 24, 2020 at 0:13 | comment | added | mihirb | The picture seems more of a way to visualize the tangent and cotangent space and allow you to visually find the components of a vector in either the covariant or contravariant bases. I was wondering how to interpret it. Maybe I should edit my question. | |
| Jul 23, 2020 at 23:58 | comment | added | mihirb | Thanks for the answer! I understand mathematically that the covariant and contravariant vectors are different types of objects and that they live in different spaces. But I was more just wondering if there was a way to visualize them even if it could be misleading after I have understood the math fully. I think the vectors in the picture are not the real contravariant or covariant vectors but just serve as a visual tool to allow you to find the components of these vectors. | |
| Jul 23, 2020 at 23:53 | history | edited | mike stone | CC BY-SA 4.0 |
added 14 characters in body
|
| Jul 23, 2020 at 23:47 | history | answered | mike stone | CC BY-SA 4.0 |