Inextensible Networks Deformed as Translation Surfaces

1983 ◽  
Vol 31 (3) ◽  
pp. 261-267 ◽  
Author(s):  
A. C. PIPKIN
Keyword(s):  
Translation Surfaces

Self-translation surfaces

1993 ◽  
Vol 5 (5) ◽  
Author(s):  
María del Carmen Fuster ◽  
Clin McGrory ◽  
Juan Ballesteros
Keyword(s):  
Translation Surfaces

Weingarten Affine Translation Surfaces in Euclidean 3-Space

2017 ◽  
Vol 72 (4) ◽  
pp. 1839-1848 ◽  
Author(s):  
Seoung Dal Jung ◽  
Huili Liu ◽  
Yixuan Liu
Keyword(s):  
Translation Surfaces ◽  
Affine Translation

scholarly journals The Kontsevich–Zorich cocycle over Veech–McMullen family of symmetric translation surfaces

2019 ◽  
Vol 14 (1) ◽  
pp. 21-54
Author(s):  
Artur Avila ◽  
◽  
Carlos Matheus ◽  
Jean-Christophe Yoccoz ◽  
◽  
...  
Keyword(s):  
Translation Surfaces

L-cut splitting of translation surfaces and non-embedding of pseudo-Anosovs (in genus two)

2018 ◽  
Vol 153 (1) ◽  
pp. 51-79
Author(s):  
Andrew Bouwman ◽  
Jarosław Kwapisz
Keyword(s):  
Translation Surfaces ◽  
Genus Two

scholarly journals An origami of genus 3 with arithmetic Kontsevich–Zorich monodromy

2019 ◽  
Vol 169 (1) ◽  
pp. 19-30
Author(s):  
PASCAL HUBERT ◽  
CARLOS MATHEUS SANTOS
Keyword(s):  
Moduli Space ◽  
Translation Surfaces

AbstractIn this we exploit the arithmeticity criterion of Oh and Benoist–Miquel to exhibit an origami in the principal stratum of the moduli space of translation surfaces of genus three whose Kontsevich–Zorich monodromy is not thin in the sense of Sarnak.

scholarly journals Polynomial affine translation surfaces in Euclidean 3-space

2017 ◽  
Vol 37 (3) ◽  
pp. 195
Author(s):  
Hülya Gün Bozok ◽  
Mahmut Ergüt
Keyword(s):  
Constant Curvature ◽  
Existence Results ◽  
Translation Surfaces ◽  
Affine Translation

In this paper we study the polynomial affine translation surfaces in E3with constant curvature. We derive some non-existence results for suchsurfaces. Several examples are also given by figures.

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