On Degenerate 3-(α, δ)-Sasakian 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.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On Degenerate 3-(α, δ)-Sasakian Manifolds ; volume:9 ; number:1 ; year:2022 ; pages:337-344 ; extent:8
Complex manifolds ; 9, Heft 1 (2022), 337-344 (gesamt 8)
- Creator
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Goertsches, Oliver
Roschig, Leon
Stecker, Leander
- DOI
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10.1515/coma-2021-0142
- URN
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urn:nbn:de:101:1-2022111713152352955003
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:20 AM CEST
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Associated
- Goertsches, Oliver
- Roschig, Leon
- Stecker, Leander
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Semi-classical spectral asymptotics of Toeplitz operators for lower energy forms on non-degenerate compact CR manifolds
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Regularity of degenerate k -Hessian equations on closed Hermitian manifolds
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Elliptic theory on manifolds with nonisolated singularities : I. The index of families of cone-degenerate operators
Semi-classical spectral asymptotics of Toeplitz operators for lower energy forms on non-degenerate compact CR manifolds
Asymptotic Properties of Solutions to the Cauchy Problem for Degenerate Parabolic Equations with Inhomogeneous Density on Manifolds
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