Tori Embedded in S3 with Dense Asymptotic Lines
Ronaldo Garcia, Jorge Sotomayor
TL;DR
This paper presents examples of tori embedded in the 3-sphere where all asymptotic lines are dense, illustrating complex geometric properties of such embeddings.
Contribution
It provides explicit examples of tori in S^3 with dense asymptotic lines, advancing understanding of their geometric behavior.
Findings
Tori embedded in S^3 with dense asymptotic lines
Explicit examples demonstrating dense asymptotic lines
Enhanced understanding of torus embeddings in 3-sphere
Abstract
In this paper are given examples of tori T^2 embedded in S^3 with all their asymptotic lines dense.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric and Algebraic Topology · Geometric Analysis and Curvature Flows