论文标题
悬架的特殊冬宫结构
Special Hermitian structures on suspensions
论文作者
论文摘要
是由基于拓扑悬挂的构造的动机，该家族的紧凑型非Kähler综合歧管与[QW]中的L. Qin和B. Wang给出了微不足道的规范束，我们研究了全体态自动形态的平衡歧管的复曲面悬浮液。特别是，我们表明卡拉比雅流形的曲折悬浮液是平衡的。我们还证明，与Hyperkähler歧管的双曲线自动形态相关的悬浮液不承认任何多元的，astheno-kähler或p紫罗兰氏hermitian的遗体指标。此外，我们考虑了超复合歧管的自然扩展，提供了一些明确的紧凑型全身符号和超复杂的非复合歧管的例子。我们还表明，修改后的悬架构造提供了带有多数指标的示例。
Motivated by the construction based on topological suspension of a family of compact non-Kähler complex manifolds with trivial canonical bundle given by L. Qin and B. Wang in [QW], we study toric suspensions of balanced manifolds by holomorphic automorphisms. In particular, we show that toric suspensions of Calabi-Yau manifolds are balanced. We also prove that suspensions associated with hyperbolic automorphisms of hyperkähler manifolds do not admit any pluriclosed, astheno-Kähler or p-pluriclosed Hermitian metric. Moreover, we consider natural extensions for hypercomplex manifolds, providing some explicit examples of compact holomorphic symplectic and hypercomplex non-Kähler manifolds. We also show that a modified suspension construction provides examples with pluriclosed metrics.
