On small deformations of paracomplex manifolds
type: Item
instance of: scholarly article
title: On small deformations of paracomplex manifolds
zbMATH Open document ID: 1235.53030
DOI: 10.4171/JNCG/84
author: Costantino Medori
author: Adriano Tomassini
published in: Journal of Noncommutative Geometry
publication date: 2011-11-10T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 5970189
zbMATH Keywords: paracomplex structure
zbMATH Keywords: deformation
zbMATH Keywords: differential graded Lie algebra
zbMATH Keywords: nilmanifold
reviewed by: Radu Iordănescu
MaRDI profile type: Publication
Wikidata QID: Q125053340
cites work: Homogeneous para-Kähler Einstein manifolds
cites work: Kähler and symplectic structures on nilmanifolds
cites work: Bochner-Kähler metrics
cites work: Dolbeault cohomology of compact nilmanifolds
cites work: A survey on paracomplex geometry
cites work: Intrinsic deformation theory of CR structures
description: scientific article; zbMATH DE number 5970189