Spanning minimal surfaces

被引：29

作者：

Fischer, W ^{[1
]}

Koch, E ^{[1
]}

机构：

[1] UNIV MARBURG, WISSENSCH ZENTRUM MAT WISSENSCH, D-35032 MARBURG, GERMANY

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1996年 / 354卷 / 1715期

关键词：

D O I：

10.1098/rsta.1996.0094

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Spanning minimal surfaces are 3-periodic minimal surfaces which contain straight lines, i.e. axes of 2-fold symmetry. We have used crystallographic knowledge of the space groups and of the corresponding arrangements of 2-fold axes involved for the derivation of new surfaces of this type and for their systematic description. Complete information on spanning minimal surfaces without self-intersections is given with respect to their symmetry and topology, together with some new results on spanning minimal surfaces with self-intersections along straight-lines.

引用

页码：2105 / 2142

页数：38

共 47 条

[1]

Anderson DM., 1990, ADV CHEM PHYS, V77, P337

[2] THE INTRINSIC CURVATURE OF SOLIDS [J].

ANDERSSON, S ;

HYDE, ST ;

VONSCHNERING, HG .

ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 1984, 168 (1-4) :1-17

[3]

[Anonymous], SITZUNGSBER K PRE PM

[4]

[Anonymous], 1983, ANGEW CHEM

[5] GEOMETRICAL SYMBOLS FOR ALL CRYSTALLOGRAPHIC SYMMETRY GROUPS UP TO 3 DIMENSIONS [J].

BOHM, J ;

DORNBERG.K .

ACTA CRYSTALLOGRAPHICA, 1967, 23 :913-&

[6]

CVIJOVIC D, 1992, J PHYS I, V2, P2191, DOI 10.1051/jp1:1992276

[7]

CVIJOVIC D, 1993, J PHYS I, V3, P909, DOI 10.1051/jp1:1993172

[8]

CVIJOVIC D, 1992, J PHYS I, V2, P2207, DOI 10.1051/jp1:1992102

[9] THE T-FAMILY AND CLP-FAMILY OF TRIPLY PERIODIC MINIMAL-SURFACES .1. DERIVATION OF PARAMETRIC EQUATIONS [J].

CVIJOVIC, D ;

KLINOWSKI, J .

JOURNAL DE PHYSIQUE I, 1992, 2 (02) :137-147

[10]

Dierkes U, 1992, Minimal Surfaces, VI

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