Results 21 to 30 of about 334 (56)

Superconformal symmetry and hyperKaehler manifolds with torsion

, 2001
The geometry arising from Michelson & Strominger's study of N=4B supersymmetric quantum mechanics with superconformal D(2,1;alpha)-symmetry is a hyperKaehler manifold with torsion (HKT) together with a special homothety.
Alekseevsky, Andrew Swann, Gibbons, Grantcharov, Howe, Ivanov, Maldacena, Michelson, Obata, Pedersen, Poon, Swann, Wit, Yat Sun Poon   +13 more
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Almost h-semi-slant Riemannian maps [PDF]

, 2012
As a generalization of slant Riemannian maps (Sahin), semi-slant Riemannian maps (Park), almost h-slant submersions (Park 2012), and almost h-semi-slant submersions (Park 2011), we introduce the notion of almost h-semi-slant Riemannian maps from almost ...
Park, Kwang-Soon
core  

Holonomy groups of pseudo-quaternionic-K\"ahlerian manifolds of non-zero scalar curvature

, 2010
The holonomy group $G$ of a pseudo-quaternionic-K\"ahlerian manifold of signature $(4r,4s)$ with non-zero scalar curvature is contained in $\Sp(1)\cdot\Sp(r,s)$ and it contains $\Sp(1)$.
A. Swann, A.L. Besse, D. Joyce, L.J. Schwachhöfer, M. Berger, Natalia I. Bezvitnaya, S.M. Salamon   +6 more
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Complex quaternionic manifolds and C-projective structures

Complex Manifolds
We 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
doaj   +1 more source

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, A. Andrada, A. Andrada, A. Andrada, A. Bejancu, A. Besse, A. Gray, Angelo V. Caldarella, B. O’Neill, B. O’Neill, C. Omero, C.M. Hull, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, E. García-Rio, E. García-Rio, F. Etayo, F. Etayo, H. Kamada, H. Ooguri, J. Baird, J. Eells, K. Yano, K. Yano, K. Yano, M. Davidse, M. Dunajski, M. Falcitelli, M. Gell-Mann, N. Blažić, N. Hitchin, O. Klein, O. Kowalski, P. Dombrowski, P. Libermann, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ivanov, S. Ivanov, S. Marchiafava, T. Kaluza, U. Theis, U. Theis, V. Cortés, V. Cortés, V. Cruceanu   +51 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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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, Itenberg, Ilia, Kharlamov, Viatcheslav   +2 more
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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
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, Piccinni, Paolo, Vuletescu, Victor   +2 more
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