2004/02/27 by Yuri I. Manin, Manin, Yuri I. · 3 citations
Mathematics · #14H10 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.AG #math.DG #msc:14H10
paper · pdf · doi:10.48550/arxiv.math/0402451
22 pages
arxiv created 2004/02/27 · openalex publication_date 2004/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This work continues the study of F--manifolds (M,∘), first defined by Hertling and Manin and investigated in [He]. The notion of a compatible flat structure ∇ is introduced, and it is shown that many constructions known for Frobenius manifolds do not in fact require invariant metrics and can be developed for all such triples (M,∘ ,∇). In particular, we extend and generalize recent Dubrovin's duality.