Results 51 to 60 of about 3,896,545 (115)
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 ...
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Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
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On a higher dimensional worm domain and its geometric properties
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz +2 more
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On submersion and immersion submanifolds of a quaternionic projective space [PDF]
Acta Universitatis Sapientiae, Mathematica, 2016 Abstract We study submanifolds of a quaternionic projective space, it is of great interest how to pull down some formulae deduced for submanifolds of a sphere to those for submanifolds of a quaternionic projective space.
Abedi Esmail, Nazari Zahra
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Simple closed curves, non‐kernel homology and Magnus embedding
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
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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.
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Isospin particle systems on quaternionic projective spaces [PDF]
Physical Review D, 2013 8 pages, PACS numbers: 03.65-w, 02.30.Ik, 1 reference ...
Stefano Bellucci +3 more
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An Algebraic Roadmap of Particle Theories
Annalen der Physik, Volume 537, Issue 4, April 2025.The SO(10) grand unified theory, the Georgi–Glashow SU(5) grand unified theory, the Pati–Salam model, the Left–Right Symmetric model, and the Standard model have been studied extensively since the 1970s. Recasting these models in a division algebraic language elucidates how they are each in fact connected.
Nichol Furey
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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
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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
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