Mixed metric 3-contact manifolds and paraquaternionic Kähler manifolds

共形仿四元数切触曲率与局部平坦性定理

Conformal paraquaternionic contact curvature and the local flatness theorem

该研究在仿四元数切触流形上定义了仿四元数切触共形曲率张量，并证明该张量为零是流形与标准平坦仿四元数切触结构局部共形等价的充要条件。

准四元数切触流形的扭量与反射空间

Twistor and Reflector spaces for paraquaternionic contact manifolds

本文研究准四元数切触流形上的扭量空间与反射空间纤维丛，证明它们具有一种总是可积的内在几何结构。

准四元数接触结构的几何

Geometry of paraquaternionic contact structures

本文引入准四元数接触结构作为para 3-Sasakian几何的推广，构造保持该结构的特殊线性联络并给出挠率与结构方程，进而定义pqc-Einstein流形，证明para 3-Sasakian空间恰为pqc-Einstein情形，并以准四元数Heisenberg群作为平坦模型。

The harmonicity of nearly cosymplectic structures

Almost contact structures can be identified with sections of a twistor bundle and this allows to define their harmonicity, as sections or maps. We consider the class of nearly cosymplectic almost contact structures on a Riemannian manifold and prove curvature identities which imply the harmonicity of their parametrizing section, thus complementing earlier results on nearly-K{ä}hler almost complex structures.