Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method. In particular, we will present a general scheme for how to construct minimal surfaces in Nil3 with non-trivial geometry. Special...

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Bibliographic Details
Main Authors: Dorfmeister Josef F., Inoguchi Jun-ichi, Kobayashi Shimpei
Format: Article
Language:English
Published: De Gruyter 2022-11-01
Series:Complex Manifolds
Subjects:
minimal surfaces
heisenberg group
symmetries
generalized weierstrass type representation
primary 53a10, 58e20
secondary 53c42
Online Access:https://doi.org/10.1515/coma-2021-0141

Internet

https://doi.org/10.1515/coma-2021-0141

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