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arXiv · 2302.02543

Geometric structures in $Sol_3$

Siyao Liu
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Abstract

In this paper, we conclude the geometric structures in $Sol_3$ with the Levi-Civita connection and the semi-symmetric non-metric connection. We discuss two special cases to study the geometric structures in $Sol_3$ with the semi-symmetric non-metric connection, namely $\widehat{P}=a(X_3)\partial_3$ and $\widehat{P}=b(X_3)\partial_1$, also get relatively complete conclusions respectively. As a special case, we investigate the geometric structures in $Sol_3$ with the Levi-Civita connection.

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Siyao Liu. 2023-02-06. Geometric structures in $Sol_3$. https://arxiv.org/abs/2302.02543

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