 Home

Codex Wiki

List of universities

University of Cambridge

Course of the University of Cambridge

Mathematics course of the University of Cambridge

Past exam of the mathematics course of the University of Cambridge

2021

Paper 309

One has
$$
de^0=0,\qquad
de^i=\frac{p_i}{t}e^0\wedge e^i.
$$
Cartan's torsion-free first structure equation and metric compatibility give the only nonzero <connection 1-forms>:
$$
\boxed{\omega^i{}_0=\omega^0{}_i=\frac{p_i}{t}e^i},
\qquad
\omega^i{}_j=0\quad(i\neq j).
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 309 / 3 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 309 / 3 / c / Solution

 Ancestors (11)

 Discussion (0)

 Articles by others on the same topic (0)

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 309 / 3 / c / Solution

 Ancestors (11)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)