LAGRANGIAN SURFACES IN THE COMPLEX EUCLIDEAN PLANE WITH CONFORMAL MASLOV FORM

被引：45

作者：

CASTRO, I

URBANO, F

机构：

[1] Departamento de Geometria y Topologia, Universidad de Granada, Granada

来源：

TOHOKU MATHEMATICAL JOURNAL | 1993年 / 45卷 / 04期

关键词：

D O I：

10.2748/tmj/1178225850

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We completely classify the compact orientable Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form, obtaining a new family of embedded Lagrangian tori.

引用

页码：565 / 582

页数：18

共 13 条

[1] Abramowitz M., 1965, HDB MATH FUNCTIONS
[2] CHEN BY, 1987, J MATH PURE APPL, V66, P321
[3] MINIMAL-SURFACES BY MOVING FRAMES
CHERN, S
WOLFSON, JG
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1983, 105 (01) : 59 - 83
[4] DAVIS H. T., 1962, INTRO NONLINEAR DIFF
[5] DELAUNAY C, 1841, J MATH PURES APPL 1, P39
[6] EJIRI N, 1988, P LOND MATH SOC, V57, P383
[7] GROMOV M, 1971, 1970 INT C MATH NIC, V2, P221
[8] HOFFMAN DA, 1980, MEMOIRS AM MATH SOC, V236
[9] TENSION FIELD OF GAUSS MAP
RUH, EA
VILMS, J
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 149 (02) : 569 - &
[10] WEINER JL, 1986, J LOND MATH SOC, V34, P148

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