On the growth of the number of primitive totally geodesic surfaces in some hyperbolic 3-manifolds

DOI10.1016/j.jnt.2019.01.012zbMath1455.57029OpenAlexW2912913793MaRDI QIDQ2420386

Junehyuk Jung

Publication date: 6 June 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.01.012

zbMATH Keywords

hyperbolic 3-manifoldsimmersed totally geodesic surfaces

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) General geometric structures on low-dimensional manifolds (57M50) Class numbers, class groups, discriminants (11R29)

Related Items (2)

Isolations of geodesic planes in the frame bundle of a hyperbolic 3-manifold ⋮ Counting minimal surfaces in negatively curved 3-manifolds

Cites Work

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• On zeta functions of quaternion algebras
• Applications of ergodic theory to the investigation of manifolds of negative curvature
• Parametrizing Fuchsian Subgroups of the Bianchi Groups
• Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms

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