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        "quote": "在可微流形 $M$ 上的一个 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:b94af6bd-ce81-4af1-b0c0-3c1c8b55401d\" data-concept-route=\"/concept-identities#concept-b94af6bd-ce81-4af1-b0c0-3c1c8b55401d\" id=\"first-52390a9f13329d43d684-zh\">联络(connection)</u>，也称为 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:50a5c655-e7e1-418e-9486-178a70f24069\" data-concept-route=\"/concept-identities#concept-50a5c655-e7e1-418e-9486-178a70f24069\" id=\"first-d58ea303f6f67900c798-zh\">线性联络(linear connection)</u> 或 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:008abe3e-4b89-4b4f-9096-b685aa35da43\" data-concept-route=\"/concept-identities#concept-008abe3e-4b89-4b4f-9096-b685aa35da43\" id=\"first-6200db44beab0a364b80-zh\">仿射联络(affine connection)</u>，是一个映射 $D : \\mathcal { T } ( M ) \\times \\mathcal { T } ( M )  \\mathcal { T } ( M )$，其中 ($M$) 是 $M$ 上可微向量场的模，使得由 $D _ { X } Y = D ( X , Y ) $ 定义的映射 $D _ { X } : T ( M ) \\to T ( M )$ 对任意向量场 $X , Y , Z$ 和标量场 $f , g \\colon$ 满足以下条件",
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        "quote": "A <u class=\"concept-term\" data-concept-identity=\"urn:uuid:b94af6bd-ce81-4af1-b0c0-3c1c8b55401d\" data-concept-route=\"/concept-identities#concept-b94af6bd-ce81-4af1-b0c0-3c1c8b55401d\" id=\"first-52390a9f13329d43d684-en\">connection</u>, also called a <u class=\"concept-term\" data-concept-identity=\"urn:uuid:50a5c655-e7e1-418e-9486-178a70f24069\" data-concept-route=\"/concept-identities#concept-50a5c655-e7e1-418e-9486-178a70f24069\" id=\"first-38e57951e7b90c74fd78-en\">linear</u> or <u class=\"concept-term\" data-concept-identity=\"urn:uuid:008abe3e-4b89-4b4f-9096-b685aa35da43\" data-concept-route=\"/concept-identities#concept-008abe3e-4b89-4b4f-9096-b685aa35da43\" id=\"first-6200db44beab0a364b80-en\">affine connection</u>, on a differentiable manifold $M$ is a map $D : \\mathcal { T } ( M ) \\times \\mathcal { T } ( M )  \\mathcal { T } ( M )$ , where ($M$) is the module of differentiable vector fields on $M$, such that the map $D _ { X } : T ( M ) \\to T ( M )$ defined by $D _ { X } Y = D ( X , Y ) $ satisfies the following conditions for arbitrary vector fields $X , Y , Z$ and scalar fields $f , g \\colon$",
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