Chengjian Yao

activity

20242026

collaborators

3 papers

math.DG2026

Closed $G_{2}$ -structures with $T^{3}$ -symmetry and hypersymplectic structures

Chengjian Yao, Ziyi Zhou

We decompose linear $G_{2}$ -structure in canonical ways adapted to 3-dimensional subspaces, in terms of certain natural 1-forms and definite triple of 2-forms, and apply the…

math.SG2025

Hypersymplectic Structures Invariant Under an Effective Circle Action

Joel Fine, Weiyong He, Chengjian Yao

A hypersymplectic structure on a 4-manifold is a triple of symplectic forms for which any non-zero linear combination is again symplectic. In 2006, Donaldson conjectured that on a…

math.DG2024

Convergence of the hypersymplectic flow on $T^{4}$ with $T^{3}$ -symmetry

Joel Fine, Weiyong He, Chengjian Yao

A hypersymplectic structure on a 4-manifold is a triple $I ¨ _{1}, I ¨ _{2}, I ¨ _{3}$ of 2-forms for which every non-trivial linear combination $a^{1} I ¨ _{1} + a^{2} I ¨ _{2} + a^{3} I ¨ _{3}$ is a symplectic…

Closed G2​-structures with T3-symmetry and hypersymplectic structures

Hypersymplectic Structures Invariant Under an Effective Circle Action

Convergence of the hypersymplectic flow on T4 with T3-symmetry

Closed $G_{2}$ -structures with $T^{3}$ -symmetry and hypersymplectic structures

Convergence of the hypersymplectic flow on $T^{4}$ with $T^{3}$ -symmetry