Writing long books is a laborious and impoverishing act of foolishness: expanding in five
hundred pages an idea that could be perfectly explained in a few minutes. A better …

The goal of this note is to give an introduction to locally conformally symplectic and Kähler
geometry. In particular, the first two sections aim to provide the reader with enough …

We present some examples of locally conformal symplectic structures of the first kind on
compact nilmanifolds which do not admit Vaisman metrics. One of these examples does not …

We present a reduction procedure for locally conformally symplectic manifolds with an action
of a Lie group preserving the conformal structure, with respect to any regular value of the …

La géométrie localement conformément symplectique (lcs) est une généralisation de la
géométrie symplectique dans laquelle une variété est munie d'une 2-forme non-dégénérée …

Let X be a union of a sequence of symplectic manifolds of increasing dimension and let M
be a manifold with a closed 2-form ω ω. We use Tischler's elementary method for …

Lie theory is one of the most fundamental subjects in mathematics. It is deeply linked to
every branch of geometry, for symmetries of geometric structures are in most cases encoded …