Geodesic
Solvable Lie flows of codimension 3
Kato, Naoki1
1Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-9814, Japan
Algebraic and Geometric Topology, Tome 16 (2016) no. 5, pp. 2751-2778
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In Appendix E of Riemannian foliations [Progress in Mathematics 73, Birkhäuser, Boston (1988)], É Ghys proved that any Lie g–flow is homogeneous if g is a nilpotent Lie algebra. In the case where g is solvable, we expect any Lie g–flow to be homogeneous. In this paper, we study this problem in the case where g is a 3–dimensional solvable Lie algebra.

DOI : 10.2140/agt.2016.16.2751
Classification : 57R30, 53C12, 22E25
Keywords: foliations, Lie foliations, homogeneous spaces, solvable Lie algebras, solvable Lie groups

Kato, Naoki  1

1 Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-9814, Japan 
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Kato, Naoki. Solvable Lie flows of codimension 3. Algebraic and Geometric Topology, Tome 16 (2016) no. 5, pp. 2751-2778. doi: 10.2140/agt.2016.16.2751

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