Duality in a special class of submanifolds and Frobenius manifolds
Differential Geometry
2009-11-13 v1 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
We prove a duality principle for a special class of submanifolds in pseudo-Euclidean spaces. This class of submanifolds with potential of normals is introduced in this paper. We prove also, for example, that an arbitrary Frobenius manifold can be realized as a certain flat submanifold of this very natural class.
Keywords
Cite
@article{arxiv.0809.2018,
title = {Duality in a special class of submanifolds and Frobenius manifolds},
author = {O. I. Mokhov},
journal= {arXiv preprint arXiv:0809.2018},
year = {2009}
}
Comments
3 pages