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| bio | website | |
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| visits | member for | 10 months |
| seen | 4 hours ago | |
| stats | profile views | 26 |
I am an undergraduate.
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22h |
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Changing a basis and satisfying inequalities Ah, I now realize you must be very careful with each step... |
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Dec 11 |
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What is a covector and what is it used for? yes, so $dx([1,2])$ would be the function $dx$ acting on the vector $[1,2] \in R^2$. |
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Dec 4 |
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How would you define a geodesic in $\operatorname{SO}(2n)$ and $\operatorname{SO}(2n+1)$? Thank you for the answer. In $R^{n^2}$, do we compute the Euclidean distance as if the matrix was a long vector, adding up the squares of the components and taking a square root? |
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Dec 3 |
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What is the diameter of a manifold? @QiaochuYuan, it was a question unattached to a textbook, just "What are the intrinsic diameters of SO(2n) and SO(2n+1)?" The textbook we have been using is Frank Morgan's "Riemannian Geometry". My professor probably assumed that the choice of metric would be immediately obvious, but it is not, at least to me. |
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Dec 3 |
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What is the diameter of a manifold? @QiaochuYuan does changing it to "intrinsic diameter" change anything? |
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Nov 19 |
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What is a covector and what is it used for? Yes, I think most of my misunderstanding arose from the fact that I was interpreting $dx$ as a "length" as opposed to a function. |
