Scholarlink

The purpose of this chapter is to introduce the vector bundle framework of “extended frequencies” that is “geometric algebra”-valued vector fields on surfaces. The aim is to give a geometrical interpretation of the generalized frequency by F. Milano in the framework. It is shown that the class of the generalized frequencies of Milano according to all voltage curves running over a surface S is linearly isomorphic to the vector bundle consisting of all the tangent hyperplanes at any points of the surface S.

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

Toward Geometric Interpretation of Generalized Frequency

  • 章节

  • 发表日期：

    2025年

查看全文
  • Kota Horizumi

摘要

The purpose of this chapter is to introduce the vector bundle framework of “extended frequencies” that is “geometric algebra”-valued vector fields on surfaces. The aim is to give a geometrical interpretation of the generalized frequency by F. Milano in the framework. It is shown that the class of the generalized frequencies of Milano according to all voltage curves running over a surface S is linearly isomorphic to the vector bundle consisting of all the tangent hyperplanes at any points of the surface S.