Closed Principal Lines of Surfaces Immersed in the Euclidean 4-Space

被引：0

作者：

R. A. Garcia

F. Sánchez-Bringas

机构：

[1] Univ. Federal de Goiás,Instituto de Matemática e Estatística

[2] U.N.A.M.,Departamento de Matemáticas, Facultad de Ciencias

[3] Ciudad Universitaria,undefined

来源：

Journal of Dynamical and Control Systems | 2002年 / 8卷

关键词：

Curvature lines; ν-principal configuration; principal cycles; Poincaré mapping;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, ν-principal cycles of surfaces immersed in ∝4 are studied. In terms of geometric invariants, an integral expression for the first derivative of the Poincaré mapping associated with a ν-principal cycle is obtained.

引用

页码：153 / 166

页数：13

共 50 条

[21] Minimal Lorentz surfaces in pseudo-Euclidean 4-space with neutral metric
Aleksieva, Yana
Milousheva, Velichka
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 142 : 240 - 253
[22] ORIENTABLE SURFACES IN 4-SPACE
GLUCK, H
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1961, 67 (06) : 590 - &
[23] AN ENUMERATION OF SURFACES IN 4-SPACE
YOSHIKAWA, K
OSAKA JOURNAL OF MATHEMATICS, 1994, 31 (03) : 497 - 522
[24] EXOTIC DIFFERENTIABLE STRUCTURES ON EUCLIDEAN 4-SPACE
TAUBES, CH
LECTURE NOTES IN PHYSICS, 1984, 202 : 41 - 43
[25] Fundamentals of Quaternionic Kinematics in Euclidean 4-Space
Nawratil, Georg
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (02) : 693 - 717
[26] Conformally flat hypersurfaces in Euclidean 4-space
Suyama, Y
NAGOYA MATHEMATICAL JOURNAL, 2000, 158 : 1 - 42
[27] INDECOMPOSABLE SURFACES IN 4-SPACE
LIVINGSTON, C
PACIFIC JOURNAL OF MATHEMATICS, 1988, 132 (02) : 371 - 378
[28] Fundamentals of Quaternionic Kinematics in Euclidean 4-Space
Georg Nawratil
Advances in Applied Clifford Algebras, 2016, 26 : 693 - 717
[29] Classification of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvatures
Bang-Yen Chen
Annals of Global Analysis and Geometry, 2010, 38 : 145 - 160
[30] Rotational Hypersurfaces in Euclidean 4-Space with Density
Altin, Mustafa
JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI, 2022, 25 (01): : 107 - 114

← 1 2 3 4 5 →