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        "quote": "类似地，我们定义 <u id=\"concept-15-covector-field\" class=\"concept-term\" data-concept-identity=\"urn:uuid:80bbdc4e-ab1e-4ceb-b83e-6bab3749f308\" data-concept-route=\"/concept-identities#concept-80bbdc4e-ab1e-4ceb-b83e-6bab3749f308\">余向量场(covector field)</u> 或可微 1-形式 $\\omega$ 为在每一点 $p \\in M$ 处指定一个余向量 $\\omega _ { p }$，使得由 $\\langle \\omega , X \\rangle ( \\boldsymbol { p } ) = \\langle \\omega _ { p } , X _ { p } \\rangle$ 定义的函数 $\\langle \\omega , X \\rangle$ 对每个光滑向量场 $X$ 都可微。可微 1-形式的空间将记为 ${ \\mathcal { T } } ^ { * } ( M )$。给定任意光滑函数 $f ,$，令 $\\mathrm{d}f$ 为通过在每个点 $p ,$ 处指定微分 $d$ $f _ { p }$ 所定义的可微 1-形式，从而",
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