4 papers
Positive sectional curvature on homotopy nine-spheres
Zhiqi Chen, Shaoqiang Deng, Junna Ni +1
We determine which homotopy nine-spheres admit positive sectional curvature: they are precisely the four smooth types with vanishing real Dirac index. The other four admit no metri…
Generalized scalar curvature and Ricci flow on compact Lie groups
Zhiqi Chen, Jianhua Yu, Huibin Chen +1
Let be a compact connected semisimple Lie group, let be a bi-invariant metric and let be its Cartan three-form. We prove that every left-invariant generalized Ricci flo…
The -Lie algebra defined by the commutator of an -left-symmetric algebra is not perfect
Zhiqi Chen, Junna Ni, Jianhua Yu
In this paper, we study admissible -left-symmetric algebraic structures on -Lie algebras over the complex numbers field . Based on the classification of -Lie al…
The classification of -Lie algebras
Zhiqi Chen, Junna Ni, Jianhua Yu
Zusmanovich gave a fundamental result on the structure of -Lie algebras. But up to now, the classification of -Lie algebras is still open. In this paper, we give a complete c…