Scholarlink

In this chapter, we investigate covariant derivatives on curved surfaces using orthonormal moving frames. We compare the traditional formulation involving Christoffel symbols and the metric tensor with a novel approach based on connection 1-forms. The methods are validated on the sphere.

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

Covariant Derivatives on Curved Surfaces via Moving Frames

  • 章节

  • 发表日期：

    2026年

查看全文
  • Sehun Chun

摘要

In this chapter, we investigate covariant derivatives on curved surfaces using orthonormal moving frames. We compare the traditional formulation involving Christoffel symbols and the metric tensor with a novel approach based on connection 1-forms. The methods are validated on the sphere.