Statistical Lie algebras of a constant curvature and locally conformally K\"ahler Lie algebras

Pavel Osipov

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arXiv · 2112.06686

Statistical Lie algebras of a constant curvature and locally conformally K\"ahler Lie algebras

Pavel Osipov

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Abstract

We show that a statistical manifold manifold of a constant non-zero curvature can be realised as a level line of Hessian potential on a Hessian cone. We construct a Sasakian structure on $TM\times\R$ by a statistical manifold manifold of a constant non-zero curvature on $M$. By a statistical Lie algebra of a constant non-zero Lie algebra we construct a l.c.K Lie algebra.

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Pavel Osipov. 2021-12-13. Statistical Lie algebras of a constant curvature and locally conformally K\"ahler Lie algebras. https://arxiv.org/abs/2112.06686

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