Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction

Details Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction

2005-02-07

arxiv.org/abs/math/0502128v2

Mathematics

Differential Geometry

17 pages. Minor changes and corrections to original version

Scientific paper

10.1016/j.geomphys.2005.08.003

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.

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