On the Morse Index of Harmonic Maps

被引：1

作者：

Benallal, Hafida ^{[1
]}

Benalili, Mohammed ^{[2
]}

机构：

[1] Abou Bekr Belkaid Univ, Fac Sci, Lab Dynam Syst & Applicat, BP 119, Tilimsen 13000, Algeria

[2] Abou Bekr Belkaid Univ, Fac Sci, BP 119, Tilimsen 13000, Algeria

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 06期

关键词：

Harmonic map; Morse index; strongly harmonic manifold; conformal vector; IMMERSIONS;

D O I：

10.1007/s00009-023-02534-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with harmonic maps defined on compact Riemannian manifolds and with values in homogenous strongly harmonic manifolds. We show some results on the Morse index by varying these maps along suitable conformal vector fields.

引用

页数：15

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