Results 41 to 50 of about 4,039,367 (143)
Harmonic morphisms from quaternionic projective spaces
, 1995 In this paper we give a method for constructing harmonic morphisms from quaternionic projective spaces HopfP k with values in a Riemann ...
Gudmundsson, Sigmundur +2 more
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On Efficient Iterative Algorithms and Conditioning for the Nonlinear Sylvester Equation
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.Nonlinear Sylvester‐type matrix equations arise in applications such as control theory, observer design, model reduction, and data‐driven systems, where they model higher order interactions in matrix transformations. Unlike the classical Sylvester equation, the presence of nonlinear terms introduces additional analytical challenges and increased ...
Constantino Mahinya +2 more
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Limit sets of cyclic quaternionic Kleinian groups [PDF]
, 2023 In this paper, we consider the natural action of $\mathrm{SL}(3, \mathbb{H})$ on the quaternionic projective space $ \mathbb{P}_{\mathbb{H}}^2$. Under this action, we investigate limit sets for cyclic subgroups of $\mathrm{SL}(3, \mathbb{H})$. We compute
Dutta, Sandipan +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Within the scope of differential geometry, exploring how curves relate to each other has long been a broad area of study for many scholars. When investigating curves, particularly space curves, the concept of frame fields, such as the Frenet–Serret frame, proves invaluable.
Md Ajmal Khan +5 more
wiley +1 more source
Annalen der Physik, Volume 537, Issue 12, December 2025.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley +1 more source
Cohomotopy sets of (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifolds for small n$n$
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Let M$M$ be a closed orientable (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifold, n⩾2$n\geqslant 2$. In this paper, we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced suspension space ΣM$\Sigma M$ to investigate the (integral) cohomotopy sets π*(M)$\pi ^\ast (M)$ for n=2,3,4$n=2,3,4$, under the assumption ...
Pengcheng Li, Jianzhong Pan, Jie Wu
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PROJECTIVE STRUCTURES AND -CONNECTIONS
, 2018 We extend T. Y. Thomas’s approach to projective structures, over the complex analytic category, by involving the$\unicode[STIX]{x1D70C}$-connections. This way, a better control of projective flatness is obtained and, consequently, we have, for example ...
Radu Pantilie
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The geometry and arithmetic of bielliptic Picard curves
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
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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
Stably extendible vector burdles over the quaternionic projective spaces [PDF]
, 1999 We show that, if a quaternionic k-dimensional vector bundle y over the quaternionic projective space HP^n is stably extendible and its non-zero top Pontrjagin class is not zero mod 2, then γ is stably equivalent to the Whitney sum of k quaternionic line ...
Kuwana, Kouji, Imaoka, Mitsunori
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