On a noncommutative algebraic geometry
Volume 107 / 2015
Banach Center Publications 107 (2015), 119-131
MSC: Primary 30G35; Secondary 30D30.
DOI: 10.4064/bc107-0-8
Abstract
Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, addition and (non-commutative) multiplication, on open sets of $\mathbb H$, then Hamilton 4-manifolds analogous to Riemann surfaces, for $\mathbb H$ instead of $\mathbb C$, are defined, and so begin to describe a class of four-dimensional manifolds.
