Scholarlink

<p>In this paper, we study conformal actions on the Euclidean sphere <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {S}^{n}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">S</mi> </mrow> <mi>n</mi> </msup> </math></EquationSource> </InlineEquation>, focusing on the case where the action induces an open orbit. Under this condition, we determine the Lie algebras of the acting Lie groups up to conjugacy within the orthogonal group <i>O</i>(<i>n</i>,&#xa0;1). Furthermore, we classify these actions up to orbit equivalence and specify the resulting orbits up to conformal equivalence.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Conformal actions on the sphere with an open orbit

  • 期刊论文

  • 发表日期：

    2026年3月17日

查看全文
  • P. Ahmadi,
  • M. Ahmadifard

摘要

In this paper, we study conformal actions on the Euclidean sphere \(\mathbb {S}^{n}\) S n , focusing on the case where the action induces an open orbit. Under this condition, we determine the Lie algebras of the acting Lie groups up to conjugacy within the orthogonal group O(n, 1). Furthermore, we classify these actions up to orbit equivalence and specify the resulting orbits up to conformal equivalence.