Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction
Differential Geometry
2020-12-15 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The structure of a Frobenius manifold encodes the geometry associated with a flat pencil of metrics. However, as shown in the authors' earlier work, much of the structure comes from the compatibility properties of the pencil rather than from the flatness of the pencil itself. In this paper conformally flat pencils of metrics are studied and examples, based on a modification of the Saito construction, are studied.
Cite
@article{arxiv.math/0502128,
title = {Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction},
author = {Liana David and Ian A. B. Strachan},
journal= {arXiv preprint arXiv:math/0502128},
year = {2020}
}
Comments
17 pages. Minor changes and corrections to original version