Scholarlink

The purpose of this chapter is to define tensors with respect to a fixed finite-dimensional real vector space and indicate what is being done when one performs common operations on tensors, such as contraction and raising or lowering indices. We include a discussion of relative tensors, inner products, symplectic forms, interior products, Hodge duality and the Hodge star operator, and the Grassmann algebra.

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

Tensors

  • 章节

  • 发表日期：

    2025年

查看全文
  • Lawrence Susanka

摘要

The purpose of this chapter is to define tensors with respect to a fixed finite-dimensional real vector space and indicate what is being done when one performs common operations on tensors, such as contraction and raising or lowering indices. We include a discussion of relative tensors, inner products, symplectic forms, interior products, Hodge duality and the Hodge star operator, and the Grassmann algebra.