2016/12/12 by Graziano Gentili, Anna Maria Gori, Gentili, Graziano +4 · 1 citation
Mathematics · #Algebraic and Geometric Analysis #Geometric and Algebraic Topology #Mathematics and Applications #math.CV #msc:30G35 #msc:53C15
paper · pdf · doi:10.48550/arxiv.1612.03685
13 pages
arxiv created 2016/12/12 · arxiv updated 2016/12/13
The recent definition of slice regular function of several quaternionic variables suggests a new notion of quaternionic manifold. We give the definition of quaternionic regular manifold, as a space locally modeled on ℍn, in a slice regular sense. We exhibit some significant classes of examples, including manifolds which carry a quaternionic affine structure.