A direct approach to quaternionic manifolds

Graziano Gentili; Anna Gori; Giulia Sarfatti

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arXiv · 1612.03685

A direct approach to quaternionic manifolds

Graziano Gentili·Anna Gori·Giulia Sarfatti

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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 $\mathbb{H}^n$, in a slice regular sense. We exhibit some significant classes of examples, including manifolds which carry a quaternionic affine structure.

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Graziano Gentili, Anna Gori, Giulia Sarfatti. 2016-12-12. A direct approach to quaternionic manifolds. https://arxiv.org/abs/1612.03685

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