Biharmonic curves in four-dimensional Damek-Ricci spaces (Q2786048)
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scientific article; zbMATH DE number 5786377
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Biharmonic curves in four-dimensional Damek-Ricci spaces |
scientific article; zbMATH DE number 5786377 |
Statements
16 September 2010
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harmonic maps
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biharmonic maps
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Damek-Ricci spaces, Heisenberg groups
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geodesics
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0.9278291
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0.91145515
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0.9008148
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0.8983865
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0.8978803
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0.8966855
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Biharmonic curves in four-dimensional Damek-Ricci spaces (English)
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Within the framework of Damek-Ricci spaces [cf. \textit{J. Berndt, F. Tricerri}, and \textit{L. Vanhecke}, Generalized Heisenberg groups and Damek-Ricci harmonic spaces. Lecture Notes in Mathematics. 1598. Berlin: Springer-Verlag (1995; Zbl 0818.53067)], the authors prove that, in dimension four, the class of biharmonic curves reduces to the class of geodesics.
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