- 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...
-
uniqueness theorem for
hyperkähler metrics on
compact Kähler
manifolds admitting holomorphically symplectic structures.
Examples of
hyperkähler metrics on noncompact...
- Ricci-flat
manifold G2
manifold Kähler
manifold Calabi–Yau
manifold Hyperkähler manifold Quaternionic Kähler
manifold Riemannian symmetric space Spin(7)...
- 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...
- In mathematics, a
hypertoric variety or
toric hyperkähler variety is a
quaternionic analog of a
toric variety constructed by
applying the hyper-Kähler...
- (of
Michael Atiyah,
Vladimir Drinfeld, Hitchin, and Yuri Manin); the
hyperkähler quotient (of Hitchin,
Anders Karlhede, Ulf Lindström and
Martin Roček);...
-
geometry of
hyperkähler manifolds and
locally conformally Kähler manifolds. He
proved an
analogue of the
global Torelli theorem for
hyperkähler manifolds...
-
Einstein 4-manifolds are
coincide with the 4-dimensional, reverse-oriented
hyperkähler manifolds in the Ricci-flat case, but are
sometimes called quaternion...
- Spin(7) manifold. Note that Sp(n) ⊂ SU(2n) ⊂ U(2n) ⊂ SO(4n), so
every hyperkähler manifold is a Calabi–Yau manifold,
every Calabi–Yau
manifold is a Kähler...
