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- W1640079905 abstract "We determine all Ricci flat left invariant Lorentzian metrics on simply connected 2-step nilpotent Lie groups. We show that the $2k+1$-dimensional Heisenberg Lie group $H_{2k+1}$ carries a Ricci flat left invariant Lorentzian metric if and only if $k=1$. We show also that for any $2leq qleq k$, $H_{2k+1}$ carries a Ricci flat left invariant pseudo-Riemannian metric of signature $(q,2k+1-q)$ and we give explicite examples of such metrics." @default.
- W1640079905 created "2016-06-24" @default.
- W1640079905 creator A5022274294 @default.
- W1640079905 date "2009-10-14" @default.
- W1640079905 modified "2023-09-27" @default.
- W1640079905 title "Ricci flat left invariant Lorentzian metrics on 2-step nilpotent Lie groups" @default.
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