2
votes
1answer
208 views

Invariants of a set of real unit vectors in 3d space, under SO(3)

I have a set of $n$ real unit vectors, in 3-dimensional space. (It is a follow up of Sets of vectors related by a rotation.) Is there a construction providing a complete set of independent*) ...
6
votes
1answer
441 views

Generalizing cosine rule to symmetric spaces

The sine and cosine rules for triangles in Euclidean, spherical and hyperbolic spaces can be understood as invariants for triples of lines. These invariants are given in terms of the distance (both ...