At the moment, all tensor fields on manifolds must have expressions in terms of coordinates in one or more charts, These expressions can involve some unspecified functions though, declared via function. So yes, the only way to define a generic metric is what you suggest. But in practice, for dimensions larger than 2 or 3, this can lead to untractable computations.
oh, that is a pity. both in terms of writing it out and computationally. I will then use cadabra2 in the meantime for this.
Asked: 2023-06-23 14:03:08 +0100
Seen: 225 times
Last updated: Jun 23 '23
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
