MINIMAL TRANSLATION SURFACES IN A STRICT WALKER 3-MANIFOLD

被引：0

作者：

Niang, Athoumane ^{[1
]}

Ndiaye, Ameth ^{[2
]}

Diallo, Abdoul Salam ^{[3
]}

机构：

[1] Univ Cheikh Anta Diop, Dept Math & Informat, FST, Dakar, Senegal

[2] Univ Cheikh Anta Diop, Dept Math, FASTEF, Dakar, Senegal

[3] Univ Alioune Diop, Dept Math, UFR SATIC, Bambey, Senegal

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2024年 / 73卷 / 02期

关键词：

Minimal surfaces; translation surfaces; Walker manifolds;

D O I：

10.31801/cfsuasmas.1296991

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study minimal translations surfaces in a strict Walker 3 -manifold. Based on the existence of two isometries, we classify minimal translation surfaces on this class of manifold. Some drawings have been added to illustrate the shape of certain surfaces.

引用

页码：554 / 568

页数：15

共 50 条

[1] Biharmonic Curves in a Strict Walker 3-Manifold
Gningue, Mamadou
Ndiaye, Ameth
Nkunzimana, Renovat
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2022, 2022
[2] MINIMAL TIMELIKE SURFACES IN A CERTAIN HOMOGENEOUS LORENTZIAN 3-MANIFOLD
Lee, Sungwook
[J]. TOHOKU MATHEMATICAL JOURNAL, 2017, 69 (04) : 621 - 635
[3] Normal surfaces in 3-manifold
Matveev, S.V.
Fominykh, E.A.
[J]. Doklady Akademii Nauk, 2002, 384 (06) : 727 - 731
[4] Concentration of CMC Surfaces in a 3-manifold
Laurain, Paul
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, 2012 (24) : 5585 - 5649
[5] THE NONCOMPACT HYPERBOLIC 3-MANIFOLD OF MINIMAL VOLUME
ADAMS, CC
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 100 (04) : 601 - 606
[6] The space of embedded minimal surfaces of fixed genus in a 3-manifold V; Fixed genus
Colding, Tobias H.
Minicozzi, William P., II
[J]. ANNALS OF MATHEMATICS, 2015, 181 (01) : 1 - 153
[7] The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains
Colding, TH
Minicozzi, WP
[J]. ANNALS OF MATHEMATICS, 2004, 160 (02) : 523 - 572
[8] A 3-MANIFOLD COMPLEXITY VIA IMMERSED SURFACES
Amendola, Gennaro
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2010, 19 (12) : 1549 - 1569
[9] The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected
Colding, TH
Minicozzi, WP
[J]. ANNALS OF MATHEMATICS, 2004, 160 (02) : 573 - 615
[10] 3-MANIFOLD GROUPS, KAHLER GROUPS AND COMPLEX SURFACES
Biswas, Indranil
Mj, Mahan
Seshadri, Harish
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2012, 14 (06)

← 1 2 3 4 5 →