Skip to main content

Let (X,ω)$(X,\omega)$ be a compact Kähler manifold. We know one example of a closed parallel (1,1)-form, namely, ω$\omega$ itself. Are there obstructions for the existence of non-vanishing closed parallel (1,1)-forms? What about (p,p)$(p,p)$-forms?

Let (X,ω) be a compact Kähler manifold. We know one example of a closed parallel (1,1)-form, namely, ω itself. Are there obstructions for the existence of non-vanishing closed parallel (1,1)-forms? What about (p,p)-forms?

Let $(X,\omega)$ be a compact Kähler manifold. We know one example of a closed parallel (1,1)-form, namely, $\omega$ itself. Are there obstructions for the existence of non-vanishing closed parallel (1,1)-forms? What about $(p,p)$-forms?

Added another assumption
Source Link
femto
  • 11
  • 2

Parallel Closed parallel (1,1)-forms on compact Kähler manifolds

Let (X,ω) be a compact Kähler manifold. We know one example of a closed parallel (1,1)-form, namely, ω itself. Are there obstructions for the existence of non-vanishing closed parallel (1,1)-forms? What about (p,p)-forms?

Parallel (1,1)-forms on compact Kähler manifolds

Let (X,ω) be a compact Kähler manifold. We know one example of a parallel (1,1)-form, namely, ω itself. Are there obstructions for the existence of non-vanishing parallel (1,1)-forms? What about (p,p)-forms?

Closed parallel (1,1)-forms on compact Kähler manifolds

Let (X,ω) be a compact Kähler manifold. We know one example of a closed parallel (1,1)-form, namely, ω itself. Are there obstructions for the existence of non-vanishing closed parallel (1,1)-forms? What about (p,p)-forms?

Source Link
femto
  • 11
  • 2

Parallel (1,1)-forms on compact Kähler manifolds

Let (X,ω) be a compact Kähler manifold. We know one example of a parallel (1,1)-form, namely, ω itself. Are there obstructions for the existence of non-vanishing parallel (1,1)-forms? What about (p,p)-forms?