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2. Hyper-Kähler Structures

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


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      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.