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Invariant Minimal Unit Vector Fields on Lie Groups |
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| Authors: | Tsukada K. Vanhecke L. |
| Affiliation: | (1) Department of Mathematics, Ochanomizu University, 2-1-1 Otsuka Bunkyo-ku, Tokyo, 112-8610, Japan;(2) Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, 3001 Leuven, Belgium |
| Abstract: | We provide a new characterization of invariant minimal unit vector fields on Lie groups and use it to construct some new examples. In particular, we determine all these vector fields on three-dimensional Lie groups. |
| Keywords: | Invariant minimal unit vector fields on Lie groups the classical Heisenberg groups solvable metric Lie groups of Iwasawa type three-dimensional Lie groups |
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