31 citations · 63 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Linearization Problems for Lie Algebroids and Lie Groupoids
Alan Weinstein
In this survey, we discuss a series of linearization problems--for Poisson structures, Lie algebroids, and Lie groupoids. The last problem involves a conjecture on the structure of…
Almost invariant submanifolds for compact group actions
Alan Weinstein
We define a C^1 distance between submanifolds of a riemannian manifold M and show that, if a compact submanifold N is not moved too much under the isometric action of a compact gro…
Some questions about the index of quantized contact transformations
Alan Weinstein
An index formula is proposed for contact transformations between contact manifolds equipped with CR structures or with fillings by symplectic manifolds. The formula generalizes the…