Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction
David, Liana ; Strachan, Ian A. B.
arXiv, 0502128 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-02-07
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  53D45, 37K10 
@article{0502128,
     author = {David, Liana and Strachan, Ian A. B.},
     title = {Conformally flat pencils of metrics, Frobenius structures and a modified
  Saito construction},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0502128}
}

David, Liana; Strachan, Ian A. B. Conformally flat pencils of metrics, Frobenius structures and a modified
  Saito construction. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502128/