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        "quote": "我们将称向量场 $Y$ 沿曲线 $\\gamma$ 是 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:6574dc8c-d1b3-4dcc-96ce-8aa80fbe82b5\" data-concept-route=\"/concept-identities#concept-6574dc8c-d1b3-4dcc-96ce-8aa80fbe82b5\" id=\"first-322509e7e9906d69d243-zh\">平行的(parallel)</u> 的，如果对曲线参数范围内的所有 $t$ 都有 $D Y ( t ) / \\mathrm { d } t = 0$。若一条曲线的切向量沿该曲线处处平行，则称该曲线为 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:211557f7-a3f5-49e5-945e-06820fdf4de7\" data-concept-route=\"/concept-identities#concept-211557f7-a3f5-49e5-945e-06820fdf4de7\" id=\"first-6105a376bad25830405f-zh\">测地线(geodesic)</u>，$D _ { \\dot { \\gamma } } { \\dot { \\gamma } } = 0 ~ -$ 注意，右端的表达式",
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        "quote": "We will say the vector field $Y$ is <u class=\"concept-term\" data-concept-identity=\"urn:uuid:6574dc8c-d1b3-4dcc-96ce-8aa80fbe82b5\" data-concept-route=\"/concept-identities#concept-6574dc8c-d1b3-4dcc-96ce-8aa80fbe82b5\" id=\"first-322509e7e9906d69d243-en\">parallel</u> along the curve $\\gamma$ if $D Y ( t ) / \\mathrm { d } t = 0$ for all $t$ in the curve’s parameter range. A curve will be called a <u class=\"concept-term\" data-concept-identity=\"urn:uuid:211557f7-a3f5-49e5-945e-06820fdf4de7\" data-concept-route=\"/concept-identities#concept-211557f7-a3f5-49e5-945e-06820fdf4de7\" id=\"first-6105a376bad25830405f-en\">geodesic</u> if its tangent vector is everywhere parallel along the curve, $D _ { \\dot { \\gamma } } { \\dot { \\gamma } } = 0 ~ -$ note that the expression on the right-hand side of",
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