Definition of Hyperkahler. Meaning of Hyperkahler. Synonyms of Hyperkahler

- In differential geometry, a hyperkähler manifold is a Riemannian manifold ( M , g ) {\displaystyle (M,g)} endowed with three integrable almost complex...
- mathematics, the hyperkähler quotient of a hyperkähler manifold acted on by a Lie group G is the quotient of a fiber of a hyperkähler moment map M → g...
- its super-space extensions, was developed by J. Harnad and S. Shnider. Hyperkähler manifolds of dimension 4 k {\displaystyle 4k} also admit a twistor correspondence...
- Hartogs' principle. A holomorphically symplectic, Kähler manifold is hyperkähler, as follows from the Calabi–Yau theorem. Hilbert schemes of points on...
- uniqueness theorem for hyperkähler metrics on compact Kähler manifolds admitting holomorphically symplectic structures. Examples of hyperkähler metrics on noncompact...
- Cornell & Silverman (1986) Compact fibrations with hyperkähler fibers Automorphisms of Hyperkähler manifolds Ruggiero Torelli (1913). "Sulle varietà di...
- Ricci-flat manifold G2 manifold Kähler manifold Calabi–Yau manifold Hyperkähler manifold Quaternionic Kähler manifold Riemannian symmetric space Spin(7)...
- In mathematics, a hypertoric variety or toric hyperkähler variety is a quaternionic analog of a toric variety constructed by applying the hyper-Kähler...
- geometry of hyperkähler manifolds and locally conformally Kähler manifolds. He proved an analogue of the global Torelli theorem for hyperkähler manifolds...
- }_{2}} . Although the above loose version of the definition includes hyperkähler manifolds, the standard convention of excluding these will be followed...