
## 2. Hyper-Kähler Structures

1. ### Hyper-Kähler Structure on $T^* M$

#### Problem 2.1.

Let $M$ be a Kähler manifold. Must $T^*M$ admit a hyper-Kähler structure?
Counter examples have been found to exist.

Cite this as: AimPL: Non-Hermitian quantum mechanics and symplectic geometry, available at http://aimpl.org/nhquantumsymp.