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This chapter introduces linear, bilinear and multilinear forms. We explore their definitions, properties, and examples, emphasizing their character as natural generalizations of linear functions and scalar products. These forms allow the seamless transition to covariant tensors.

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Multilinear Forms

  • 章节

  • 发表日期：

    2025年

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  • Ana Cannas da Silva,
  • Özlem Imamoğlu,
  • Alessandra Iozzi

摘要

This chapter introduces linear, bilinear and multilinear forms. We explore their definitions, properties, and examples, emphasizing their character as natural generalizations of linear functions and scalar products. These forms allow the seamless transition to covariant tensors.