Results 31 to 40 of about 145 (132)
Dual Proximal Groups Concisely Representing Complex Hosoya Triangles
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül +3 more
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Shape Operators and Structure Tensors of Real Hypersurfaces in Nonflat Quaternionic Space Forms [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2004 The concept of curvature-adapted hypersurfaces in a Riemannian manifold has been introduced by \textit{J. B. Berndt} in [J. Reine Angew. Math. 419, 9--26 (1991; Zbl 0718.53017)]. The authors obtain characterizations of curvature-adapted real hypersurfaces of a non flat quaternionic space form. Then they state characterizations of classes of homogeneous
Maeda, Sadahiro, Adachi, Toshiaki
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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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The type number on real hypersurfaces in a quaternion space form
Tsukuba Journal of Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk +2 more
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Quadratic Forms and Space-Time Block Codes From Generalized Quaternion and Biquaternion Algebras [PDF]
IEEE Transactions on Information Theory, 2011 In the context of space-time block codes (STBCs), the theory of generalized quaternion and biquaternion algebras (i.e., tensor products of two quaternion algebras) over arbitrary base fields is presented, as well as quadratic form theoretic criteria to check if such algebras are division algebras.
Thomas Unger, Nadya Markin
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper studies a generalized Cayley inclusion problem governed by a K·,·‐co‐monotone mapping in a real Hilbert space. We show that the proposed inclusion problem can be equivalently reformulated as a fixed‐point problem. Exploiting this equivalence, an inertial extrapolation algorithm is developed to compute solutions of the generalized Cayley ...
Mohd Aftab Alam +3 more
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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
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Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚn
Acta Universitatis Sapientiae, Mathematica, 2016 Abstract The purpose of this paper is to study Ricci solitons on QR-hypersurfaces M of a quaternionic space form ℚn such that the shape operator A with respect to N has one eigenvalue. We prove that Ricci soliton on QR-hypersurfaces M with eigenvalue zero is steady and for eigenvalue nonzero is shrinking.
Nazari Z., Abedi E.
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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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