1999/12/10 by I. A. B. Strachan · 1 citation
Mathematics · Physics and Astronomy · #math.DG #hep-th #math-ph #math.MP #nlin.SI #solv-int
paper · pdf · doi:10.1016/s0393-0440(00)00064-4
published as J.Geom.Phys. 38 (2001) 285-307 · 23 pages. LaTeX 2e
arxiv created 1999/12/10 · arxiv updated 2015/06/26
The notion of a Frobenius submanifold - a submanifold of a Frobenius manifold which is itself a Frobenius manifold with respect to structures induced from the original manifold - is studied. Two dimensional submanifolds are particularly simple. More generally, sufficient conditions are given for a submanifold to be a so-called natural submanifold. These ideas are illustrated using examples of Frobenius manifolds constructed from Coxeter groups, and for the Frobenius manifolds governing the quantum cohomology of CP2 and CP1 × CP1.