Some Results on Harmonic Metrics

被引：0
|
作者：
Fatima Zohra Kadi
Bouazza Kacimi
Mustafa Özkan
机构：
[1] University of Mascara,Laboratory of Quantum Physics and Mathematical Modeling (LPQ3M), Department of Mathematics, Faculty of Exact Sciences
[2] University of Mascara,Department of Mathematics, Faculty of Exact Sciences
[3] Gazi University,Department of Mathematics, Faculty of Sciences
来源：
Mediterranean Journal of Mathematics | 2023年 / 20卷
关键词：
Harmonic maps; Sasaki lift; complete lift; Riemannian extension; Primary 53C30; Secondary 53C43;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we prove that the harmonicity of a metric on a pseudo-Riemannian manifold is equivalent to the harmonicity of both its Sasaki (resp. complete) lift metric on the tangent bundle and its Sasaki lift metric (resp. the Riemannian extension of the Levi-Civita connection) on the cotangent bundle, meanwhile we deal with harmonic metrics on warped product spaces. Some applications are included.
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