AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Electronic Research Archive Article
PDF (484.7 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Modification and the cohomology groups of compact solvmanifolds Ⅱ

School of Mathematics and Statistics, Henan University, Kaifeng 475004, China
Department of Mathematics, University of California at Riverside, Riverside, CA 92505, USA
Show Author Information

Abstract

In this article, we refine the modification theorem for a compact solvmanifold given in 2006 and completely solve the problem of finding the cohomology ring on compact solvmanifolds.

Keywords

solvmanifoldscohomologyinvariant structurehomogeneous spaceproductfiber bundlessymplectic manifoldssplittingsprealgebraic groupdecompositionsmodificationLie groupcompact manifoldsuniform discrete subgroupslocally flat parallelizable manifolds

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 33 Issue 2,
February 2025
Pages 931-937
DOI: 10.3934/era.2025042

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Guan D. Modification and the cohomology groups of compact solvmanifolds Ⅱ. Electronic Research Archive, 2025, 33(2): 931-937. https://doi.org/10.3934/era.2025042

14

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 02 September 2024
Revised: 28 December 2024
Accepted: 08 January 2025
Published: 15 February 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)