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arXiv:0809.2018 [math.DG]AbstractReferencesReviewsResources

Duality in a special class of submanifolds and Frobenius manifolds

O. I. Mokhov

Published 2008-09-11Version 1

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.

Comments: 3 pages
Journal: Russian Math. Surveys, 2008, 63:2, 378-380
Subjects: 53D45, 53A07, 53B25, 53B30
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