41 citations · 159 across the 39 of their papers we have counts for
6 papers · 1 filter
3-dimensional F-manifolds
Alexey Basalaev, Claus Hertling
F-manifolds are complex manifolds with a multiplication with unit on the holomorphic tangent bundle with a certain integrability condition. Here the local classification of 3-dimen…
(TE)-structures over the irreducible 2-dimensional globally nilpotent F-manifold germ
Liana David, Claus Hertling
We find formal and holomorphic normal forms for a class of meromorphic connections (the so-called -structures) over the irreducible -dimensional globally nilpotent -man…
Meromorphic connections over F-manifolds
Liana David, Claus Hertling
This paper review one construction of Frobenius manifolds (and slightly weaker structures). It splits it into several steps and discusses the freedom and the constraints in these s…
(T)-structures over 2-dimensional F-manifolds: formal classification
Liana David, Claus Hertling
A -structure over a complex manifold is a meromorphic connection defined on a holomorphic vector bundle over , with poles of Poincaré rank on…
Hermitian metrics on F-manifolds
Liana David, Claus Hertling
An -manifold is complex manifold with a multiplication on the holomorphic tangent bundle with a certain integrability condition. Important examples are Frobenius manifolds and e…
Regular F-manifolds: initial conditions and Frobenius metrics
Liana David, Claus Hertling
A regular F-manifold is an F-manifold (with Euler field) (M, \circ, e, E), such that the endomorphism {\mathcal U}(X) := E \circ X of TM is regular at any p\in M. We prove that the…