Results 31 to 40 of about 308 (43)

Deformation Finiteness for Real Hyperkahler Manifolds

open access: yes, 2006
We show that the number of equivariant deformation classes of real structures in a given deformation class of compact hyperkahler manifolds is finite.Comment: 6 ...
Degtyarev, Alex   +2 more
core   +1 more source

Isotrivial elliptic K3 surfaces and Lagrangian fibrations [PDF]

open access: yes, 2014
A fibration is said to be isotrivial if all of its smooth fibres are isomorphic to a single fixed variety. We classify the elliptic K3 surfaces that are isotrivial, and use them to construct Lagrangian fibrations that are isotrivial.
Sawon, Justin
core  

Clifford systems in octonionic geometry

open access: yes, 2016
We give an inductive construction for irreducible Clifford systems on Euclidean vector spaces. We then discuss how this notion can be adapted to Riemannian manifolds, and outline some developments in octonionic geometry.Comment: Added the new Paragraph 3.
Parton, Maurizio   +2 more
core  

Symplectic involutions of $K3^{[n]}$ type and Kummer $n$ type manifolds

open access: yes, 2018
In this paper we describe the fixed locus of a symplectic involution on a hyperk\"ahler manifold of type $K3^{[n]}$ or of Kummer $n$ type. We prove that the fixed locus consists of finitely many copies of Hilbert schemes of $K3$ surfaces of lower ...
Kamenova, Ljudmila   +2 more
core  

Curvature of hyperkähler quotients

open access: yesOpen Mathematics, 2008
Bielawski Roger
doaj   +1 more source

Stable bundles on hypercomplex surfaces

open access: yesOpen Mathematics, 2010
Moraru Ruxandra, Verbitsky Misha
doaj   +1 more source

On almost hyperHermitian structures on Riemannian manifolds and tangent bundles

open access: yesOpen Mathematics, 2004
Bogdanovich Serge, Ermolitski Alexander
doaj   +1 more source

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