Smooth Right Quasigroup Structures on 1-Manifolds

J. Math. Sci. Univ. Tokyo
Vol. 17 (2010), No. 3, Page 313--321.

Yadav, A. C.; Lal, Ramji
Smooth Right Quasigroup Structures on 1-Manifolds
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Abstract:
Smooth loop structures on one- manifolds for which the groups topologically generated by right translations are locally compact, are known. In this article we study smooth right loop structures on one-manifolds.

Keywords: Right quasigroups, $PSL(2,\R)$, Borel subgroups.

Mathematics Subject Classification (2010): Primary 22A22, Secondary 20N05.
Received: 2009-07-24