Duality in a special class of submanifolds and Frobenius manifolds

Details Duality in a special class of submanifolds and Frobenius manifolds Duality in a special class of submanifolds and Frobenius manifolds

2008-09-11

arxiv.org/abs/0809.2018v1

Russian Math. Surveys, 2008, 63:2, 378-380

Mathematics

Differential Geometry

3 pages

Scientific paper

10.1070/RM2008v063n02ABEH004528

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.

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