Translation surfaces of finite type in Sol 3

Bendehiba Senoussi; Hassan Al-Zoubi

Commentationes Mathematicae Universitatis Carolinae (2020)

  • Volume: 61, Issue: 2, page 237-256
  • ISSN: 0010-2628

Abstract

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In the homogeneous space Sol 3 , a translation surface is parametrized by r ( s , t ) = γ 1 ( s ) * γ 2 ( t ) , where γ 1 and γ 2 are curves contained in coordinate planes. In this article, we study translation invariant surfaces in Sol 3 , which has finite type immersion.

How to cite

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Senoussi, Bendehiba, and Al-Zoubi, Hassan. "Translation surfaces of finite type in ${\rm Sol}_{3}$." Commentationes Mathematicae Universitatis Carolinae 61.2 (2020): 237-256. <http://eudml.org/doc/297392>.

@article{Senoussi2020,
abstract = {In the homogeneous space Sol$_\{3\}$, a translation surface is parametrized by $r(s,t)=\gamma _\{1\}(s)\ast \gamma _\{2\}(t)$, where $\gamma _\{1\}$ and $\gamma _\{2\}$ are curves contained in coordinate planes. In this article, we study translation invariant surfaces in $\{\rm Sol\}_\{3\}$, which has finite type immersion.},
author = {Senoussi, Bendehiba, Al-Zoubi, Hassan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Laplacian operator; homogeneous space; invariant surface; surfaces of coordinate finite type},
language = {eng},
number = {2},
pages = {237-256},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Translation surfaces of finite type in $\{\rm Sol\}_\{3\}$},
url = {http://eudml.org/doc/297392},
volume = {61},
year = {2020},
}

TY - JOUR
AU - Senoussi, Bendehiba
AU - Al-Zoubi, Hassan
TI - Translation surfaces of finite type in ${\rm Sol}_{3}$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2020
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 61
IS - 2
SP - 237
EP - 256
AB - In the homogeneous space Sol$_{3}$, a translation surface is parametrized by $r(s,t)=\gamma _{1}(s)\ast \gamma _{2}(t)$, where $\gamma _{1}$ and $\gamma _{2}$ are curves contained in coordinate planes. In this article, we study translation invariant surfaces in ${\rm Sol}_{3}$, which has finite type immersion.
LA - eng
KW - Laplacian operator; homogeneous space; invariant surface; surfaces of coordinate finite type
UR - http://eudml.org/doc/297392
ER -

References

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