The index of harmonic maps from surfaces to complex projective spaces

被引：0
作者：
Oliver, J. [1 ]
机构：
[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2020年 / 31卷 / 09期
基金：
英国工程与自然科学研究理事会;
关键词：
Harmonic map; index; stability; complex projective space; MINIMAL-SURFACES; 2-SPHERES;
D O I：
10.1142/S0129167X2050069X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We estimate the dimensions of the spaces of holomorphic sections of certain line bundles to give improved lower bounds on the index of complex isotropic harmonic maps to complex projective space from the sphere and torus, and in some cases from higher genus surfaces.
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页数：13
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