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arXiv · 1912.13322

On the classification of five-dimensional nilsolitons

Hamid Reza Salimi Moghaddam
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Abstract

In 2002, using a variational method, Lauret classified five-dimensional nilsolitons. In this work, using the algebraic Ricci soliton equation, we obtain the same classification. We show that, among ten classes of five-dimensional nilmanifolds, seven classes admit Ricci soliton structure. In any case, the derivation which satisfies the algebraic Ricci soliton equation is computed.

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Hamid Reza Salimi Moghaddam. 2019-12-19. On the classification of five-dimensional nilsolitons. https://doi.org/10.30504/jims.2024.463565.1189

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