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


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The file(s) associated with this item can be obtained from the following URL: https://doi.org/10.1515/coma-2021-0141

Title:	Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group
Authors:	Dorfmeister, Josef F. Browse this author
	Inoguchi, Jun-ichi Browse this author
	Kobayashi, Shimpei Browse this author →KAKEN DB
Keywords:	Minimal surfaces
	Heisenberg group
	symmetries
	generalized Weierstrass type representation
Issue Date:	15-Nov-2022
Publisher:	De Gruyter
Journal Title:	Complex Manifolds
Volume:	9
Issue:	1
Start Page:	285
End Page:	336
Publisher DOI:	10.1515/coma-2021-0141
Abstract:	We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil(3) 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 Nil(3) with non-trivial geometry. Special emphasis will be put on equivariant minimal surfaces. Moreover, we will classify equivariant minimal surfaces given by one-parameter subgroups of the isometry group Iso(degrees)(Nil(3)) of Nil(3).
Type:	article
URI:	http://hdl.handle.net/2115/87520
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

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