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Hard Lefschetz Condition on symplectic non-K\"ahler solvmanifolds [PDF]

open access: green
Francesca Lusetti   +1 more
openalex   +1 more source

Indefinite Nilsolitons and Einstein Solvmanifolds [PDF]

open access: yesThe Journal of Geometric Analysis, 2021
A nilsoliton is a nilpotent Lie algebra $$\mathfrak {g}$$ g with a metric such that $${{\,\mathrm{Ric}\,}}=\lambda \mathrm {Id}+D$$ Ric = λ Id + D , with D a derivation.
D. Conti, F. Rossi
semanticscholar   +6 more sources

A note on compact solvmanifolds with Kahler structures [PDF]

open access: yesOsaka Journal of Mathematics, 2004
In this note we show that a compact solvmanifold admits a Kstructure if and only if it is a finite quotient of a complex torus which has a structure of a com- plex torus bundle over a complex torus.
K. Hasegawa
semanticscholar   +5 more sources

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