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arXiv 1107.0855math.DGmath.SG
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复空间型中具有$SO(2)\rtimes S_3$ -对称性的特殊拉格朗日4重

Special Lagrangian 4-folds with $SO(2)\rtimes S_3$-Symmetry in Complex Space Forms

Franki Dillen, Christine Scharlach, Kristof Schoels, Luc Vrancken

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摘要：

本文给出了复空间型中满足第二基本型上的$SO(2)\rtimes S_3$ -对称性的特殊拉格朗日子流形的分类。这种形式的代数结构已经由Marianty Ionel得到。然而，该论文中具有这种$SO(2)\rtimes S_3$对称性的$\mathbb{C}^4$中的特殊拉格朗日子流形的分类是不完整的。本文给出了这类子流形的一个完整分类，并将其推广到具有$SO(2)\rtimes S_3$ -对称性的任意复空间型的特殊拉格朗日子流形。

英文摘要：

In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to an $SO(2)\rtimes S_3$-symmetry on the second fundamental form. The algebraic structure of this form has been obtained by Marianty Ionel. However, the classification of special Lagrangian submanifolds in $\mathbb{C}^4$ having this $SO(2)\rtimes S_3$ symmetry in that paper is incomplete. In the present paper we give a complete classification of such submanifolds, and extend the classification to special Lagrangian submanifolds of arbitrary complex space forms with $SO(2)\rtimes S_3$-symmetry.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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