Affine translation surfaces with constant sectional curvature

被引：0

作者：

Magid M. ^{[1
]}

Vrancken L. ^{[2
]}

机构：

[1] Department of Mathematics, Wellesley College, Wellesley

[2] K.U. Leuven, Departement Wiskunde, B-3001 Leuven

来源：

Journal of Geometry | 2000年 / 68卷 / 1-2期

关键词：

Sectional Curvature; Gaussian Curvature; Translation Surface; Constant Sectional Curvature; Constant Gaussian Curvature;

D O I：

10.1007/BF01221071

中图分类号：

学科分类号：

摘要：

In this paper we characterize affine translation surfaces with constant Gaussian curvature. We show that such surfaces must be flat and that one of the defining curves must be planar. © Birkhäuser Verlag, 2000.

引用

页码：192 / 199

页数：7

共 50 条

[31] Translation surfaces with constant mean curvature in 3-dimensional spaces
Liu H.
Journal of Geometry, 1999, 64 (1-2) : 141 - 149
[32] ON SURFACES OF CONSTANT CURVATURE
SCHERK, P
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 54 (09) : 839 - 839
[33] Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature
Chen, Haojie
Nie, Xiaolan
MATHEMATISCHE ZEITSCHRIFT, 2022, 302 (03) : 1721 - 1737
[34] Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature
Haojie Chen
Xiaolan Nie
Mathematische Zeitschrift, 2022, 302 : 1721 - 1737
[35] ON MINIMAL-SURFACES IN A KAHLER MANIFOLD OF CONSTANT HOLOMORPHIC SECTIONAL CURVATURE
WOLFSON, JG
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 290 (02) : 627 - 646
[36] Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature
Ooguri M.
Journal of Geometry, 2013, 104 (1) : 137 - 152
[37] Self-dual centroaffine surfaces of codimension two with constant affine mean curvature
Furuhata, H
Kurose, T
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2002, 9 (04) : 573 - 587
[38] REGULAR DOMAINS AND SURFACES OF CONSTANT GAUSSIAN CURVATURE IN 3-DIMENSIONAL AFFINE SPACE
Nie, Xin
Seppi, Andrea
ANALYSIS & PDE, 2022, 15 (03): : 643 - 697
[39] Translation surfaces with non-zero constant mean curvature in Euclidean space
Thomas Hasanis
Journal of Geometry, 2019, 110
[40] Translation surfaces with non-zero constant mean curvature in Euclidean space
Hasanis, Thomas
JOURNAL OF GEOMETRY, 2019, 110 (02)

← 1 2 3 4 5 →