Natural Frobenius Submanifolds
Jiezhu Lin
TL;DR
This paper establishes a complete characterization and classification of natural Frobenius hypersurfaces within Frobenius manifolds, advancing the understanding of their geometric structure.
Contribution
It provides a necessary and sufficient condition for submanifolds to be natural Frobenius, and classifies all such hypersurfaces.
Findings
Derived a necessary and sufficient condition for natural Frobenius submanifolds.
Classified all natural Frobenius hypersurfaces.
Enhanced understanding of Frobenius manifold substructures.
Abstract
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Advanced Algebra and Geometry