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Transversely K\"ahler almost contact metric Lie algebras

math.DG · 2026-04-14 · unverdicted · novelty 6.0

In 5 dimensions the Heisenberg Lie algebra h5 is the only one admitting η-Einstein transversely Kähler almost contact metric structures that are not quasi-Sasakian, and every 5D anti-quasi-Sasakian Lie algebra is isomorphic to h5.

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  • Transversely K\"ahler almost contact metric Lie algebras math.DG · 2026-04-14 · unverdicted · none · ref 26

    In 5 dimensions the Heisenberg Lie algebra h5 is the only one admitting η-Einstein transversely Kähler almost contact metric structures that are not quasi-Sasakian, and every 5D anti-quasi-Sasakian Lie algebra is isomorphic to h5.