Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces

We show that for every large enough g there exists a Fuchsian representation ρ : π 1 ( Σ g ) → ∏ i = 1 3 PSL ( 2 , R ) which yields multiple minimal surfaces in the corresponding product of closed Riemann surfaces.

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Bibliographic Details
Published inGeometric and functional analysis Vol. 32; no. 1; pp. 31 - 52
Main Author Marković, Vladimir
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.02.2022
Springer Nature B.V
Subjects
Analysis
Mathematics
Mathematics and Statistics
Minimal surfaces
Riemann surfaces
Primary 53C43
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Summary:We show that for every large enough g there exists a Fuchsian representation ρ : π 1 ( Σ g ) → ∏ i = 1 3 PSL ( 2 , R ) which yields multiple minimal surfaces in the corresponding product of closed Riemann surfaces.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-021-00590-4