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Mathematics > Differential Geometry

Title: The complex landslide flow and the method of integrable systems

Abstract: We investigate a connection between the complex landslide flow, defined on a pair of Teichm\"uller spaces, and the integrable system method's approach to harmonic maps into a symmetric space. We will prove that the holonomy of the complex landslide flow can be derived from the holonomy of the family of flat connections determined by a harmonic map into the hyperbolic two-space.
Subjects: Differential Geometry (math.DG)
MSC classes: Primary 32G15, Seondary 53C43
Cite as: arXiv:2404.13966 [math.DG]
  (or arXiv:2404.13966v1 [math.DG] for this version)

Submission history

From: Shimpei Kobayashi [view email]
[v1] Mon, 22 Apr 2024 08:12:30 GMT (14kb,D)

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