Results 21 to 30 of about 323 (33)
Non-Berwaldian Randers metrics of Douglas type on four-dimensional hypercomplex Lie groups
, 2017 In this paper we classify all non-Berwaldian Randers metrics of Douglas type arising from invariant hyper-Hermitian metrics on simply connected four-dimensional real Lie groups.
Hosseini, M., Moghaddam, H. R. Salimi
core
Special almost Hermitian geometry
, 2005 We study the classification of special almost hermitian manifolds in Gray and Hervella's type classes. We prove that the exterior derivatives of the symplectic form and the complex volume form contain all the information about the intrinsic torsion of ...
Berger +13 more
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Deformation Finiteness for Real Hyperkahler Manifolds
, 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
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Isotrivial elliptic K3 surfaces and Lagrangian fibrations [PDF]
, 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
Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]
J Geom Anal, 2022 Datar V, Jacob A.
europepmc +1 more source
Clifford systems in octonionic geometry
, 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
, 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
Bihermitian Structures On Complex Surfaces
, 2006 V. Apostolov +2 more
semanticscholar +1 more source
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Generalisations of Rozansky–Witten invariants
, 2001We survey briefly the definition of the Rozansky-Witten invariants, and review their relevance to the study of compact hyperkahler manifolds. We consider how various generalisations of the invariants might prove useful for the study of non-compact ...
J. Roberts, Justin Sawon
semanticscholar +1 more source