Harmonic two-spheres in the symplectic group Sp(n)

被引：8

作者：

Pacheco, R ^{[1
]}

机构：

[1] Univ Beira Interior, Dept Matemat, P-6201001 Covilha, Portugal

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2006年 / 17卷 / 03期

关键词：

harmonic map; symplectic group; quaternionic projective space; extended solution; uniton factorization;

D O I：

10.1142/S0129167X06003527

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We shall exploit the Grassmannian theoretic point of view introduced by Segal in order to study harmonic maps from a two-sphere into the symplectic group Sp(n). By using this methodology, we shall be able to deduce an "uniton factorization" of such maps and an alternative characterization of harmonic two-spheres in the quaternionic projective spare HPn.

引用

页码：295 / 311

页数：17

共 12 条

[1]

AITHAL AR, 1986, OSAKA J MATH, V23, P255

[2]

BAHYELDIEN A, 1989, J REINE ANGEW MATH, V398, P36

[3]

BAHYELDIEN A, 1991, P LOND MATH SOC, V62, P202

[4] Harmonic two-spheres in compact symmetric spaces, revisited [J].

Burstall, FE ;

Guest, MA .

MATHEMATISCHE ANNALEN, 1997, 309 (04) :541-572

[5]

BURSTALL FE, 1986, J DIFFER GEOM, V23, P255

[6]

BURSTALL FE, 1990, LECT NOTES MATH, V1424

[7]

Guest M.A., 1997, London Mathematical Society Student Texts, V38

[8]

PRESSELEY AN, 1986, LOOP GROUPS

[9]

SEGAL G, 1989, LOND MATH S, V139, P153

[10]

UHLENBECK K, 1989, J DIFFER GEOM, V30, P1

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