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Matches in SemOpenAlex for { <https://semopenalex.org/work/W3107102007> ?p ?o ?g. }

• W3107102007 abstract "In this article we study the stability problem for the Einstein metrics on Sasaki Einstein and on complete nearly parallel ${rm G}_2$ manifolds. In the Sasaki case we show linear instability if the second Betti number is positive. Similarly we prove that nearly parallel $rm G_2$ manifolds with positive third Betti number are linearly unstable. Moreover, we prove linear instability for the Berger space ${rm SO}(5)/{rm SO}(3)_{irr} $ which is a $7$-dimensional homology sphere with a proper nearly parallel ${rm G}_2$ structure." @default.
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• W3107102007 date "2020-11-24" @default.
• W3107102007 modified "2023-09-27" @default.
• W3107102007 title "Linear Instability of Sasaki Einstein and nearly parallel ${rm G}_2$ manifolds" @default.
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