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"quote": "\n> [!definition] 定义（[正相容复结构(positive compatible complex structure)](../../../../../concepts/symplectic-geometry/positive-compatible-complex-structure)）\n> 若 $\\mathcal M$ 上的复结构 $J$ 满足相容性条件26.5，即 $J\\in Sp(2d,\\mathbb R)$，并满足以下由式26.9可知等价的正性条件之一，就称其为正相容复结构：\n>\n> \n>\n> $$\n> \\langle u,u\\rangle=i\\Omega(\\bar u,u)>0\\tag{26.10}\n> $$\n>\n> 对任意非零 $u\\in\\mathcal M_J^+$ 成立；或\n>\n> \n>\n> $$\n> \\Omega(v,Jv)>0\\tag{26.11}\n> $$\n>\n> 对任意非零 $v\\in\\mathcal M$ 成立。\n",
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"quote": "\n> [!definition] Definition ([positive compatible complex structure](../../../../../concepts/symplectic-geometry/positive-compatible-complex-structure))\n> A complex structure $J$ on $\\mathcal M$ is positive and compatible with $\\Omega$ if it satisfies condition 26.5, so $J\\in Sp(2d,\\mathbb R)$, and either of the following positivity conditions, equivalent by equation 26.9:\n>\n> \n>\n> $$\n> \\langle u,u\\rangle=i\\Omega(\\bar u,u)>0\\tag{26.10}\n> $$\n>\n> for every nonzero $u\\in\\mathcal M_J^+$, or\n>\n> \n>\n> $$\n> \\Omega(v,Jv)>0\\tag{26.11}\n> $$\n>\n> for every nonzero $v\\in\\mathcal M$.\n",
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