Results 11 to 20 of about 347 (52)

Transverse Hilbert schemes and completely integrable systems

open access: yesComplex Manifolds, 2017
In this paper we consider a special class of completely integrable systems that arise as transverse Hilbert schemes of d points of a complex symplectic surface S projecting onto ℂ via a surjective map p which is a submersion outside a discrete subset of ...
Donin Niccolò Lora Lamia
doaj   +1 more source

THE SPACE OF HYPERKÄHLER METRICS ON A 4-MANIFOLD WITH BOUNDARY

open access: yesForum of Mathematics, Sigma, 2017
Let $X$ be a compact 4-manifold with boundary.
JOEL FINE   +2 more
doaj   +1 more source

On holomorphically projective mappings of parabolic K\"ahler manifolds

open access: yes, 2017
In this paper we study fundamental equations of holomorphically projective mappings of parabolic Kähler spaces (which are generalized classical, pseudoand hyperbolic Kähler spaces) with respect to the smoothness class of metrics.
P. Peška, J. Mikeš, H. Chud, M. Shiha
semanticscholar   +1 more source

On the mobility degree of (pseudo-) Riemannian spaces with respect to concircular mappings

open access: yes, 2013
In this paper we study the mobility degree of (pseudo-) Riemannian spaces with respect to concircular mappings. We assume that the smoothness class of differentiability is C .
Olena Chepurna, I. Hinterleitner
semanticscholar   +1 more source

The even Clifford structure of the fourth Severi variety

open access: yesComplex Manifolds, 2015
TheHermitian symmetric spaceM = EIII appears in the classification of complete simply connected Riemannian manifolds carrying a parallel even Clifford structure [19].
Parton Maurizio, Piccinni Paolo
doaj   +1 more source

The second Betti number of hyperk\"ahler manifolds [PDF]

open access: yes, 2015
Let $M$ be a compact irreducible hyperkahler manifold, from Bogomolov inequality [V1] we obtain forbidden values of the second Betti number $b_2$ in arbitrary dimension.
Kurnosov, Nikon
core  

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

open access: yes, 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   +6 more
core   +1 more source

Abelian simply transitive affine groups of symplectic type [PDF]

open access: yes, 2001
We construct a model space $C(\gsp(\bR^{2n}))$ for the variety of Abelian simply transitive groups of affine transformations of type ${\rm Sp}(\bR^{2n})$.
Baues, Oliver, Cortes, Vicente
core   +2 more sources

A Nearly Quaternionic Structure on SU(3)

open access: yes, 2009
It is shown that the compact Lie group SU(3) admits an Sp(2)Sp(1)-structure whose distinguished 2-forms $\omega_1,\omega_2,\omega_3$ span a differential ideal. This is achieved by first reducing the structure further to a subgroup isomorphic to SO(3)
Besse   +15 more
core   +1 more source

Hyperk\"ahler Manifolds of Curves in Twistor Spaces [PDF]

open access: yes, 2014
We discuss hypercomplex and hyperk\"ahler structures obtained from higher degree curves in complex spaces fibring over ${\mathbb{P}}^1$.Comment: v4: added the missing assumption on dimension in Theorem 3 ...
Bielawski, Roger
core   +4 more sources

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