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- W2247485708 abstract "The long-standing Alekseevskii conjecture states that a connected homogeneous Einstein space G / K of negative scalar curvature must be diffeomorphic to $${mathbb R}^n$$ . This was known to be true only in dimensions up to 5, and in dimension 6 for non-semisimple G. In this work we prove that this is also the case in dimensions up to 10 when G is not semisimple. For arbitrary G, besides 5 possible exceptions, we show that the conjecture holds up to dimension 8." @default.
- W2247485708 created "2016-06-24" @default.
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- W2247485708 date "2016-03-07" @default.
- W2247485708 modified "2023-10-13" @default.
- W2247485708 title "The Alekseevskii conjecture in low dimensions" @default.
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- W2247485708 doi "https://doi.org/10.1007/s00208-016-1386-1" @default.
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