Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 309 / 4 / a

Table of contents
- Solution a

Solution

For the displayed frame,

e^{0} (e_{0}) = 1, e^{0} (e_{2}) = 0, e^{1} (e_{1}) = 1, e^{2} (e_{2}) = 1,

and all other pairings vanish. Hence the proposed one-forms are the dual coframe. Substitution into

g = - (e^{0})^{2} + (e^{1})^{2} + (e^{2})^{2}

reproduces the metric, proving that the frame is an orthonormal frame with signature

(-, +, +)

.

 Ancestors (10)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version