Symmetric shift-invariant subspaces and harmonic maps

被引：0

作者：

Aleman, Alexandru ^{[1
]}

Pacheco, Rui ^{[2
]}

Wood, John C. ^{[3
]}

机构：

[1] Lund Univ, Fac Sci, Math, POB 118, S-22100 Lund, Sweden

[2] Univ Beira Interior, Ctr Matemat & Aplicacoes CMA UBI, P-6201001 Covilha, Portugal

[3] Univ Leeds, Sch Math, GB, Leeds LS2 9JT, W Yorkshire, England

来源：

MATHEMATISCHE ZEITSCHRIFT | 2021年 / 299卷 / 1-2期

关键词：

Harmonic maps; Primitive maps; Flag manifolds; Riemann surfaces; Shift-invariant subspaces; TORI;

D O I：

10.1007/s00209-020-02680-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Grassmannian model represents harmonic maps from Riemann surfaces by families of shift-invariant subspaces of a Hilbert space. We impose a natural symmetry condition on the shift-invariant subspaces that corresponds to considering an important class of harmonic maps into symmetric and k-symmetric spaces. Using an appropriate description of such symmetric shift-invariant subspaces we obtain new results for the corresponding extended solutions, including how to obtain primitive harmonic maps from certain harmonic maps into the unitary group.

引用

页码：183 / 202

页数：20

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