In this chapter we will define vector fields, which are smooth sections of the tangent bundle. We introduce derivations and Lie Algebra, and simplify our notation by using the Einstein Summation Convention.

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Vector Fields

  • Will J. Merry

摘要

In this chapter we will define vector fields, which are smooth sections of the tangent bundle. We introduce derivations and Lie Algebra, and simplify our notation by using the Einstein Summation Convention.