- 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...
- 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...
-
Cornell &
Silverman (1986)
Compact fibrations with
hyperkähler fibers Automorphisms of
Hyperkähler manifolds Ruggiero Torelli (1913). "Sulle varietà di...
- In mathematics, a
hypertoric variety or
toric hyperkähler variety is a
quaternionic analog of a
toric variety constructed by
applying the hyper-Kähler...
- Ricci-flat
manifold G2
manifold Kähler
manifold Calabi–Yau
manifold Hyperkähler manifold Quaternionic Kähler
manifold Riemannian symmetric space Spin(7)...
-
Institute in New York. He is most
famous for his
pioneering work on
hyperkähler manifolds. Born in Moscow,
Bogomolov graduated from
Moscow State University...
-
complex tori, K3
surfaces are the Calabi–Yau
manifolds (and also the
hyperkähler manifolds) of
dimension two. As such, they are at the
center of the classification...
- Conceptually, the
equations arise in the
process of infinite-dimensional
hyperkähler reduction. They can also be
viewed as a
dimensional reduction of the...
