Moduli of Quaternionic Superminimal Immersions of 2-Spheres into Quaternionic Projective Spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Moduli of Quaternionic Superminimal Immersions of 2-Spheres into Quaternionic Projective Spaces

Authors:	Piotr Z. Kobak Bonaventure Loo

Affiliation:	(1) Instytut Matematyki, Uniwersytet Jagielloski, ul, Reymonta 4, 30-059 Kraków, Poland;(2) National University of Singapore, Mathematics Department, Lower Kent Ridge Road, Singapore, 119260

Abstract:	The aim of this paper is to describe the moduli spaces of degree d quaternionic superminimal maps from 2-spheres to quaternionic projective spaces HPn. We show that such moduli spaces have the structure of projectivized fibre products and are connected quasi-projective varieties of dimension 2nd + 2n + 2. This generalizes known results for spaces of harmonic 2-spheres in S⁴.

Keywords:	harmonic 2-sphere moduli space quaterion-Kä hler manifold quaternion projective space quaternion superminimal map
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