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.
A direct approach to quaternionic manifolds / G. Gentili, A. Gori, G. Sarfatti. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - 290:2-3(2016 Feb), pp. 321-331.
A direct approach to quaternionic manifolds
A. Gori;
2016
Abstract
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.File in questo prodotto:
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