On small deformations of paracomplex manifolds
A paracomplex structure on a manifold \(M\) is an endomorphism \(K\) of the tangent bundle \(TM\) such that \(K^2= I\), whose \(\pm 1\)-eigenspaces have the same dimension and are involutive. By using the theory of differential graded Lie algebras, the authors describe small deformations of paracomplex structures. They also compute the space of invariant small deformations of 4-dimensional nilmanifolds endowed with a fixed paracomplex structure.
scientific article; zbMATH DE number 5970189