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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
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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

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Electronic Research Archive
Volume 33 Issue 2,
February 2025
Pages 931-937
DOI: 10.3934/era.2025042

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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

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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)