Abstract
In this paper we study harmonic forms on compact symplectic nilmanifolds. We consider harmonic cohomology groups of dimension 3 and of codimension 2 for 2-step nilmanifolds and give examples of compact 2-step symplectic nilmanifolds $G / \Gamma$ such that the dimension of harmonic cohomology groups varies.
Information
Published: 1 January 2003
First available in Project Euclid: 12 June 2015
zbMATH: 1033.53078
MathSciNet: MR1977573
Digital Object Identifier: 10.7546/giq-4-2003-257-270
Rights: Copyright © 2003 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
