EXTRINSICALLY FLAT MOBIUS STRIPS ON GIVEN KNOTS IN 3-DIMENSIONAL SPACEFORMS

被引：7

作者：

Naokawa, Kosuke ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2013年 / 65卷 / 03期

关键词：

ISOMETRIC IMMERSIONS; SURFACES;

D O I：

10.2748/tmj/1378991020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the topology of closed extrinsically flat strips which contain a given knot in a 3-dimensional spaceform. This is a refinement and generalization of results of Chicone-Kalton and Rogen.

引用

页码：341 / 356

页数：16

共 50 条

[21] Random Knots in 3-Dimensional 3-Colour Percolation: Numerical Results and Conjectures
de Crouy-Chanel, Marthe
Simon, Damien
JOURNAL OF STATISTICAL PHYSICS, 2019, 176 (03) : 574 - 590
[22] MEASURING 3-DIMENSIONAL GRAIN ANGLES SURROUNDING KNOTS BY IMAGE-PROCESSING
SUGIMORI, M
SADOH, T
MOKUZAI GAKKAISHI, 1988, 34 (08): : 647 - 651
[23] 3-DIMENSIONAL AND 4-DIMENSIONAL ADDRESSING OF FLAT-PANEL DISPLAYS
KITAI, AH
PROCEEDINGS OF THE SID, 1986, 27 (04): : 309 - 312
[24] LOCALLY FLAT EMBEDDINGS OF 3-DIMENSIONAL MANIFOLDS IN 4-DIMENSIONAL MANIFOLDS
CANTRELL, JC
LECTURE NOTES IN MATHEMATICS, 1985, 1167 : 47 - 49
[25] PERFECT FLUID SPHERES ADMITTING FLAT 3-DIMENSIONAL SLICES
BONA, C
STELA, J
PALOU, P
GENERAL RELATIVITY AND GRAVITATION, 1987, 19 (02) : 179 - 183
[26] 3-DIMENSIONAL OSEEN FLOW PAST A FLAT-PLATE
HOMENTCOVSCHI, D
QUARTERLY OF APPLIED MATHEMATICS, 1982, 40 (02) : 137 - 149
[27] AN EXAMPLE OF ALMOST FLAT AFFINE CONNECTIONS ON THE 3-DIMENSIONAL SPHERE
AGAOKA, Y
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (11) : 3519 - 3521
[28] ON THE 3-DIMENSIONAL WATER WAVES SYSTEM ABOVE A FLAT BOTTOM
Wang, Xuecheng
ANALYSIS & PDE, 2017, 10 (04): : 893 - 928
[29] Flat translation invariant surfaces in the 3-dimensional Heisenberg group
Inoguchi, Jun-ichi
JOURNAL OF GEOMETRY, 2005, 82 (1-2) : 83 - 90
[30] 3-DIMENSIONAL VORTICITY MODES IN THE WAKE OF A FLAT-PLATE
LASHERAS, JC
MEIBURG, E
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1990, 2 (03): : 371 - 380

← 1 2 3 4 5 →