Results 1 to 10 of about 323 (33)
A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space [PDF]
, 2010 We prove a Milnor‐Wood inequality for representations of the fundamental group of a compact complex hyperbolic manifold in the group of isometries of quaternionic hyperbolic space.
O. García-Prada, D. Toledo
semanticscholar +1 more source
Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors
, 2017 In this paper we study the preserving of Riemannian and Ricci tensors with respect to a diffeomorphism of spaces with affine connection. We consider geodesic and almost geodesic mappings of the first type.
V. Berezovski, S. Bácsó, J. Mikeš
semanticscholar +1 more source
On holomorphically projective mappings of parabolic K\"ahler manifolds
, 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
, 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
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 +6 more
core +1 more source
Abelian simply transitive affine groups of symplectic type [PDF]
, 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
Hyper-K\"ahler Fourfolds Fibered by Elliptic Products
, 2018 Every fibration of a projective hyper-K\"ahler fourfold has fibers which are Abelian surfaces. In case the Abelian surface is a Jacobian of a genus two curve, these have been classified by Markushevich. We study those cases where the Abelian surface is a
Kamenova, Ljudmila
core +1 more source
Hyperk\"ahler Manifolds of Curves in Twistor Spaces [PDF]
, 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
The second Betti number of hyperk\"ahler manifolds [PDF]
, 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
A Nearly Quaternionic Structure on SU(3)
, 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