论文标题
在退化$ 3 $ - $ - $（α，δ）$ - sasakian歧管
On Degenerate $3$-$(α,δ)$-Sasakian Manifolds
论文作者
论文摘要
我们提出了一种新的方法，以构建简并$ 3 $ - $ - $（α，δ）$ - Sasakian歧管作为Boothby-Wang Bundles的光纤产品，而不是Hyperkähler歧管。随后，我们研究均质退化$ 3 $ - $（α，δ）$ - 萨萨基亚人的歧管，并证明不存在非平凡的紧凑型例子，而且恰好有一个nilpotent的家族与这个几何形状，quaternionic heisenberg群体。
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 as well as that there is exactly one family of nilpotent Lie groups with this geometry, the quaternionic Heisenberg groups.
