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arXiv · 2608.20499

Submanifolds of Bochner Holomorphic Statistical Manifolds

Harmandeep Kaur·Gauree Shanker
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Abstract

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.

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Harmandeep Kaur, Gauree Shanker. 2026-08-20. Submanifolds of Bochner Holomorphic Statistical Manifolds. https://arxiv.org/abs/2608.20499

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