In this paper, we investigate the topology of a wormhole from the viewpoint of the theory of retracting and var-folding. We deduce the equatorial geodesics on the line element of the wormhole and discuss the minimum deformation retract related to this space. Using the Lagrangian equations we find that there is a type of minimum retraction of a wormhole with associated topology. We also extend the result to the [Formula: see text]-dimensional wormhole and show that the end limit of var-folding is 0-dimensional wormhole and obtain the relation between limit var-folding and limit retraction. We find a new application in geometric topology and astrophysics.

中文翻译：

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虫洞时空上的最小变形收缩

在本文中，我们从收缩和可变折叠理论的角度研究了虫洞的拓扑结构。我们推导了虫洞线元上的赤道测地线，并讨论了与该空间相关的最小变形缩回。使用拉格朗日方程，我们发现具有相关拓扑的虫洞存在一种最小回缩。我们还将结果推广到[公式：见正文]维虫洞，证明var折叠的终点是0维虫洞，得到了极限var折叠和极限回缩之间的关系。我们在几何拓扑和天体物理学中找到了新的应用。