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BY 4.0 license Open Access Published by De Gruyter Open Access November 17, 2022

On Degenerate 3-(α, δ)-Sasakian Manifolds

  • Oliver Goertsches , Leon Roschig EMAIL logo and Leander Stecker
From the journal Complex Manifolds

Abstract

We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial compact examples exist aswell as that there is exactly one family of nilpotent Lie groups with this geometry, the quaternionic Heisenberg groups.

MSC 2010: 53C25; 53C26; 53C30; 22E25

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Received: 2022-07-05
Accepted: 2022-10-25
Published Online: 2022-11-17

© 2022 Oliver Goertsches et al., published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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