Results 51 to 60 of about 5,080 (119)
Relative cubulation of relative strict hyperbolization
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley +1 more source
Totally Real Submanifolds in a Quaternion Projective Space
Tokyo Journal of Mathematics, 1996 Let \(M\) be an \(n\)-dimensional compact totally real minimal submanifold in the quaternionic projective space \(QP^n(c)\) of constant quaternionic sectional curvature \(c\). Denote by \(\rho\) the scalar curvature of \(M\), by \(\sigma\) the second fundamental form of \(M\), and by \(K_c\) and \(Q\) the functions assigning to each point \(p\in M ...
openaire +3 more sources
Curvature of quaternionic skew‐Hermitian manifolds and bundle constructions
Mathematische Nachrichten, Volume 298, Issue 1, Page 87-112, January 2025.Abstract This paper is devoted to a description of the second‐order differential geometry of torsion‐free almost quaternionic skew‐Hermitian manifolds, that is, of quaternionic skew‐Hermitian manifolds (M,Q,ω)$(M, Q, \omega)$. We provide a curvature characterization of such integrable geometric structures, based on the holonomy theory of symplectic ...
Ioannis Chrysikos +2 more
wiley +1 more source
Derivations and Extensions in JC‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.A well‐known result by Upmeier states that every derivation on a universally reversible JC‐algebra A⊆B(H)sa extends to the C∗‐algebra [A] generated by A in B(H). In this paper, we significantly strengthen this result by proving that every Jordan derivation on a universally reversible JC‐algebra A extends to ∗‐derivations on its universal enveloping ...
Fatmah B. Jamjoom +2 more
wiley +1 more source
On Connectedness of the Space of Harmonic 2-Spheres in Quaternionic Projective Spaces
Tokyo Journal of Mathematics, 1994 Let \(\mathbb{H} P^ n(c)\) be an \(n\)-dimensional quaternionic projective space with the maximum \(c\) of the sectional curvatures. It is known that there are two natural twistor spaces \({\mathcal T}_ n\) and \(\mathbb{C} P^{2n +1}\) over \(\mathbb{H} P^ n\). A harmonic map \(\varphi : \Sigma \to\mathbb{H} P^ n(c)\) is called strongly isotropic (resp.
openaire +3 more sources
Harmonic Riemannian submersions between Riemannian symmetric spaces of noncompact type
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3634-3642, December 2024.Abstract We construct harmonic Riemannian submersions that are retractions from symmetric spaces of noncompact type onto their rank‐one totally geodesic subspaces. Among the consequences, we prove the existence of a nonconstant, globally defined complex‐valued harmonic morphism from the Riemannian symmetric space associated to a split real semisimple ...
F. E. Burstall
wiley +1 more source
Zero‐curvature subconformal structures and dispersionless integrability in dimension five
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley +1 more source
On the stability of the quaternion projective space
Reports on Mathematical Physics10 pages, revised version. We have harmonized the signs of two formulas taken from different references, but which corresponded to some distinct sign conventions for the Riemannian curvature tensor.
openaire +2 more sources
Metrics of positive Ricci curvature on simply‐connected manifolds of dimension 6k$6k$
Journal of Topology, Volume 17, Issue 4, December 2024.Abstract A consequence of the surgery theorem of Gromov and Lawson is that every closed, simply‐connected 6‐manifold admits a Riemannian metric of positive scalar curvature. For metrics of positive Ricci curvature, it is widely open whether a similar result holds; there are no obstructions known for those manifolds to admit a metric of positive Ricci ...
Philipp Reiser
wiley +1 more source
Involutions on the product of Quaternionic Projective space and Sphere
, 2023 Let G = Z2 act on a finite CW-complex X having mod 2 cohomology isomorphic to the product of quaternionic projective space and sphere HPn x Sm, n, m > or = 1. This paper is concerned with the connected fixed point sets and the orbit spaces of free involutions on X.
Dimpi, Singh, Hemant Kumar
openaire +2 more sources