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math.DG2000
Leibniz Algebras, Courant Algebroids, and Multiplications on Reductive Homogeneous Spaces
Michael K. Kinyon, Alan Weinstein
We show that the skew-symmetrized product on every Leibniz algebra E can be realized on a reductive complement to a subalgebra in a Lie algebra. As a consequence, we construct a no…
math.DS2000
Fixed points of analytic actions of supersoluble Lie groups on compact surfaces
Morris W. Hirsch, Alan Weinstein
We show that every real analytic action of a connected supersoluble Lie group on a compact surface with nonzero Euler characteristic has a fixed point. This implies that E. Lima's…