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In this chapter we introduce the notion of a tensor derivation on a manifold. We show that the Lie derivative is a tensor derivation, and thus unify the two definitions of the Lie derivative from Definition 10.1 .

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The Lie Derivative Revisited

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  • 发表日期：

    2026年

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  • Will J. Merry

摘要

In this chapter we introduce the notion of a tensor derivation on a manifold. We show that the Lie derivative is a tensor derivation, and thus unify the two definitions of the Lie derivative from Definition 10.1 .