Quadratic forms and the expansion and rotations of linear endomorphisms
Rings and Algebras
2023-07-17 v1 Differential Geometry
Abstract
New expansionary and rotational quadratic forms are constructed for -endomorphisms. Relations amongst the various eigenvalues, eigendirections and matrix invariants are established, including propositions on complexity and geometric multiplicity. The underlying construction involves a novel, almost-orthogonal expansion based on two-plane rotations. The development is strongly geometric in flavour and has application to the theory of connections, of which the Frenet case on is given as a model.
Keywords
Cite
@article{arxiv.2307.07132,
title = {Quadratic forms and the expansion and rotations of linear endomorphisms},
author = {Geoff Prince},
journal= {arXiv preprint arXiv:2307.07132},
year = {2023}
}