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<p>In this note we study properties of holomorphic tangent vector fields on decoupled model hypersurfaces. As an application, we show that smoothly bounded, decoupled, finite type psuedoconvex domains with non-compact automorphism groups are biholomorphically equivalent to complex ellipsoids.</p>

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Decoupled Pseudoconvex Domains with Non-Compact Automorphism Groups

  • 期刊论文

  • 发表日期：

    2025年10月17日

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  • Ben Zhang

摘要

In this note we study properties of holomorphic tangent vector fields on decoupled model hypersurfaces. As an application, we show that smoothly bounded, decoupled, finite type psuedoconvex domains with non-compact automorphism groups are biholomorphically equivalent to complex ellipsoids.