Department of Mathematics and Statistics,
Concordia University,  7141 Sherbrooke West,
Montreal, Quebec, H4B 1R6 CANADA

New Frobenius structures on Hurwitz spaces in terms of Schiffer and Bergmann kernels

New family of flat potential (Darboux-Egoroff) metrics on the Hurwitz spaces and corresponding Frobenius structures are found. We describe new structures of Frobenius manifold on the Hurwitz spaces considered as real manifolds; our construction is inspired by that of Dubrovin who defined Frobenius structures on Hurwitz spaces considered as complex manifolds.