Volume 11, Issue 3 (12-2025)
mmr 2025, 11(3): 1-17 |
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rastegar A. Density of Chebotarev and geodesic foliations of three-manifolds. mmr 2025; 11 (3) :1-17
URL: http://mmr.khu.ac.ir/article-1-3174-en.html
URL: http://mmr.khu.ac.ir/article-1-3174-en.html
sharif university of technology , rastegar1352@gmail.com
Abstract: (498 Views)
In this paper, the ⅯKR dictionary between prime numbers in algebraic number theory and knots in three-dimensional manifolds is reviewed. We consider closed geodesics on a finite-volume hyperbolic three-manifold. Subsequently, a notion of height in these knots is defined using the hyperbolic metric, and Chebotarev's density theorem is formulated for these knots.
Type of Study: Other |
Subject:
Differential Geometry
Received: 2021/02/22 | Revised: 2025/12/27 | Accepted: 2025/11/16 | Published: 2025/12/17 | ePublished: 2025/12/17
Received: 2021/02/22 | Revised: 2025/12/27 | Accepted: 2025/11/16 | Published: 2025/12/17 | ePublished: 2025/12/17
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