Coeffective cohomology on almost cosymplectic manifolds
type: Item
instance of: scholarly article
title: Coeffective cohomology on almost cosymplectic manifolds
zbMATH Open document ID: 0839.58005
author: Domingo Chinea
author: Manuel de León
author: Juan Carlos Marrero
published in: Bulletin des Sciences Mathématiques
publication date: 1996-06-04T00:00:00Z
review text: The authors define a differential subcomplex of de Rham's complex on a cosymplectic manifold and obtain some local and global results on the cohomology of this subcomplex. They also relate this coeffective cohomology with the de Rham cohomology on cosymplectic almost contact metric manifolds (Theorem 4). In the last section, two almost cosymplectic manifolds which do not admit cosymplectic structures are constructed and it is shown that Theorem 4 from the case of a compact cosymplectic almost contact metric manifold does not work in these constructed examples.
Mathematics Subject Classification ID: 58A12
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 812668
zbMATH Keywords: differential subcomplex
zbMATH Keywords: de Rham's complex
zbMATH Keywords: cosymplectic manifold
zbMATH Keywords: coeffective cohomology
reviewed by: Neculai Papaghiuc
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 812668