Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 50, No. 1, pp. 8199 (2009) 

Linear $\infty$harmonic maps between Riemannian manifoldsZePing WangDepartment of Mathematics $&$ Physics, Yunnan Wenshan Teachers' College, No. 2 Xuefu Road, Wenshan County, Wenshan, Yunnan 653000, People's Republic of China, email: zeping.wang@gmail.comAbstract: In this paper, we give complete classifications of linear $\infty$harmonic maps between Euclidean and Heisenberg spaces, between Nil and Sol spaces. We also classify all $\infty$harmonic linear endomorphisms of Sol space and show that there is a subgroup of $\infty$harmonic linear automorphisms in the group of linear automorphisms of Sol space. Keywords: $\infty$harmonic maps, Nil space, Sol space, Heisenberg space Classification (MSC2000): 58E20, 53C12 Full text of the article:
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