Slice-quaternionic Hopf surfaces

TL;DR

This paper explores the structure of slice-quaternionic Hopf surfaces, constructing new manifold structures on specific spheres, analyzing their automorphisms, and examining their deformations to advance understanding in quaternionic geometry.

Contribution

It introduces novel slice-quaternionic manifold structures on , analyzes their automorphism groups, and studies their deformation theory.

Findings

Constructed new slice-quaternionic structures on 

Analyzed automorphism groups of these structures

Studied deformation properties of the manifolds

Abstract

We investigate slice-quaternionic Hopf surfaces. In particular, we construct new structures of slice-quaternionic manifold on $\mathbb{S}^1\times\mathbb{S}^7$, we study their group of automorphisms and their deformations.