Scholarlink

The primary purpose of these notes is to understand the underlying structure behind a mathematically rich class of surfaces, and introduce how this comprehension leads to the principles of structure-preserving discretizations. We are particularly interested in the integrable structure they possess, as the modern surface theory is marked by the influence of integrable systems, and these properties extend to suitable discretizations of such surfaces. These lecture notes will focus on the case of isothermic surfaces in the context of Lie sphere geometry to achieve this goal.

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

Introduction

  • 章节

  • 发表日期：

    2025年

查看全文
  • Joseph Cho,
  • Kosuke Naokawa,
  • Yuta Ogata,
  • Mason Pember,
  • Wayne Rossman,
  • Masashi Yasumoto

摘要

The primary purpose of these notes is to understand the underlying structure behind a mathematically rich class of surfaces, and introduce how this comprehension leads to the principles of structure-preserving discretizations. We are particularly interested in the integrable structure they possess, as the modern surface theory is marked by the influence of integrable systems, and these properties extend to suitable discretizations of such surfaces. These lecture notes will focus on the case of isothermic surfaces in the context of Lie sphere geometry to achieve this goal.