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<p>This work presents a coordinate sphere bundle defined from theory of slice regular functions whose bundle projection and some real Banach spaces induce coordinate sphere bundles in which the quaternionic Banach modules of the slice regular functions of Bloch, Besov and Dirichlet are the base spaces. Finally, this work shows that Möbius invariant property of these quaternionic Banach modules defines pullback bundles or automorphisms on sphere bundles.</p>

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Some \(\mathbb {H}\)-Banach Modules and Fiber Bundles

  • 期刊论文

  • 发表日期：

    2025年5月8日

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  • José Oscar González-Cervantes

摘要

This work presents a coordinate sphere bundle defined from theory of slice regular functions whose bundle projection and some real Banach spaces induce coordinate sphere bundles in which the quaternionic Banach modules of the slice regular functions of Bloch, Besov and Dirichlet are the base spaces. Finally, this work shows that Möbius invariant property of these quaternionic Banach modules defines pullback bundles or automorphisms on sphere bundles.