The recent definition of slice regular function of several quaternionic variables suggests a new notion of quater- nionic manifold. We give the definition of quaternionic regular manifold, as a space locally modeled on H^n, 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 / Gentili, Graziano; Gori, Anna; Sarfatti, Giulia. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - ELETTRONICO. - 290:(2017), pp. 321-331. [10.1002/mana.201500489]
A direct approach to quaternionic manifolds
SARFATTI, GIULIA
2017-01-01
Abstract
The recent definition of slice regular function of several quaternionic variables suggests a new notion of quater- nionic manifold. We give the definition of quaternionic regular manifold, as a space locally modeled on H^n, 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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