Slice-quaternionic Hopf surfaces

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.

References in corpus (5)

• The Schwarz-Pick lemma for slice regular functions
• Regular vs. classical Möbius transformations of the quaternionic unit ball
• Möbius transformations and the Poincaré distance in the quaternionic setting
• On Quaternionic Tori and their Moduli Spaces
• Landau's theorem for slice regular functions on the quaternionic unit ball

Cited by in corpus (7)

• The harmonicity of slice regular functions
• On a quaternionic Picard theorem
• On compact affine quaternionic curves and surfaces
• Log-biharmonicity and a Jensen formula in the space of quaternions
• Slice conformality and Riemann manifolds on quaternions and octonions
• Birational geometry of quaternions
• On the Quadratic Cone of ${\mathbb{R}}_3.$