Biharmonic and harmonic homomorphisms between Riemannian three dimensional unimodular Lie groups

Sihem Boubekeur; Mohamed Boucetta

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arXiv · 2010.02611

Biharmonic and harmonic homomorphisms between Riemannian three dimensional unimodular Lie groups

Sihem Boubekeur·Mohamed Boucetta

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Abstract

We classify biharmonic and harmonic homomorphisms $f:(G,g_1)\rightarrow(G,g_2)$ where $G$ is a connected and simply connected three-dimensional unimodular Lie group and $g_1$ and $g_2$ are left invariant Riemannian metrics.

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BibTeX RIS

Sihem Boubekeur, Mohamed Boucetta. 2020-10-06. Biharmonic and harmonic homomorphisms between Riemannian three dimensional unimodular Lie groups. https://arxiv.org/abs/2010.02611

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