AI 中文总结
本文研究Bochner全纯统计流形的子流形，探讨拉格朗日统计子流形的共形平坦性，证明其双自平行全纯子流形具有消失Bochner曲率张量
AI 中文摘要
本文研究具有消失Bochner曲率张量的全纯统计流形（即Bochner全纯统计流形）的子流形，探讨拉格朗日统计子流形在Bochner曲率张量消失假设下的共形平坦性，还研究Bochner全纯统计流形的全纯子流形，证明其双自平行全纯子流形具有消失Bochner曲率张量
英文摘要
In this paper, we study the submanifolds of holomorphic statistical manifolds with vanishing Bochner curvature tensor (Bochner holomorphic statistical manifolds). We study the Lagrangian statistical submanifolds and discuss their conformal flatness under the assumption of vanishing Bochner curvature tensor. Next we study the holomorphic submanifolds of Bochner holomorphic statistical manifolds and prove that the doubly autoparallel holomorphic submanifold of a Bochner holomorphic statistical manifold has vanishing Bochner curvature tensor.
Comments10 pages
