Results 31 to 40 of about 347 (52)
Double products and hypersymplectic structures on $R^{4n}$
, 2004 In this paper we give a procedure to construct hypersymplectic structures on $R^{4n}$ beginning with affine-symplectic data on $R^{2n}$. These structures are shown to be invariant by a 3-step nilpotent double Lie group and the resulting metrics are ...
Andrada, Adrian, Dotti, Isabel
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On paraquaternionic submersions between paraquaternionic K\"ahler manifolds
, 2008 In this paper we deal with some properties of a class of semi-Riemannian submersions between manifolds endowed with paraquaternionic structures, proving a result of non-existence of paraquaternionic submersions between paraquaternionic K\"ahler non ...
A. Andrada +51 more
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Complex quaternionic manifolds and C-projective structures
Complex ManifoldsWe discuss complex quaternionic manifolds, i.e., those that have holonomy GL(n,H)U(1) $GL\left(n,\mathbb{H}\right)U\left(1\right)$ , which naturally arise via quaternionic Feix–Kaledin construction.
Borówka Aleksandra
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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
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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
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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
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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
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