THE SPACE OF ALMOST COMPLEX 2-SPHERES IN THE 6-SPHERE

被引：0

作者：

Fernandez, Luis ^{[1
]}

机构：

[1] CUNY, Bronx Community Coll, Dept Math & Comp Sci, Bronx, NY 10453 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 04期

关键词：

HARMONIC; 2-SPHERES; MINIMAL IMMERSIONS; SURFACES; MAPS; S2; DIMENSION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The complex dimension of the space of linearly full almost complex 2-spheres of area 4 pi d in the round 6-sphere is calculated to be d + 8. Explicit examples of these objects are constructed for every integer value of the degree, d >= 6, d not equal 7. Furthermore, it is shown that when d = 6 this space is isomorphic to the group G(2)(C), and when d = 7 this space is empty. We also show that the dimension of the space of nonlinearly full almost complex 2-spheres of area 4 pi d in the round 6-sphere is 2d + 5.

引用

页码：2437 / 2458

页数：22

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