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arxiv: 0708.3151 · v1 · submitted 2007-08-23 · 🧮 math.SG · math.DG

Natural Frobenius Submanifolds

classification 🧮 math.SG math.DG
keywords frobeniusnaturalsubmanifoldconditionnecessarysufficientclassifygave
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I.A.B. Strachan introduced the notion of a natural Frobenius submanifold of a Frobenius manifold and gave a sufficient but not necessary condition for a submanifold to be a natural Frobenius submanifold. This paper will give a necessary and sufficient condition and classify the natural Frobenius hypersurfaces.

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