Multiplication on the tangent bundle

Details Multiplication on the tangent bundle Multiplication on the tangent bundle

1999-10-21

arxiv.org/abs/math/9910116v1

Mathematics

Algebraic Geometry

88 pages, AMS-LaTeX

Scientific paper

Manifolds with a commutative and associative multiplication on the tangent bundle are called F-manifolds if a unit field exists and the multiplication satisfies a natural integrability condition. They are studied here. They are closely related to discriminants and Lagrange maps. Frobenius manifolds are F-manifolds. As an application a conjecture of Dubrovin on Frobenius manifolds and Coxeter groups is proved.

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