Results 41 to 50 of about 145 (132)
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
wiley +1 more source
Stable equivalence relations on 4‐manifolds
Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.Abstract Kreck's modified surgery gives an approach to classifying smooth 2n$2n$‐manifolds up to stable diffeomorphism, that is, up to connected sum with copies of Sn×Sn$S^n \times S^n$. In dimension 4, we use a combination of modified and classical surgery to study various stable equivalence relations which we compare to stable diffeomorphism.
Daniel Kasprowski +2 more
wiley +1 more source
Totally real pseudo-umbilical submanifolds of a quaternion space form [PDF]
Glasgow Mathematical Journal, 1998 Let M(c) denote a 4n-dimensional quaternion space form of quaternion sectional curvature c, and let P(H) denote the 4n-dimensional quaternion projective space of constant quaternion sectional curvature 4. Let N be an n-dimensional Riemannian manifold isometrically immersed in M(c). We call N a totally real submanifold of M(c) if each tangent 2-plane of
openaire +2 more sources
The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
wiley +1 more source
The differential form spectrum of quaternionic hyperbolic spaces
Bulletin des Sciences Mathématiques, 2005 The \(L^{2}\) spectrum of the Hodge-de Rham Laplacian \(\Delta _{l}\) acting on quaternionic hyperbolic spaces is determined by using harmonic analysis and representation theory. It is shown that the unique possible discrete eigenvalue and the lowest continuous eigenvalue of \(\Delta _{l}\) can both be realized by some subspace of hyper-effective ...
openaire +2 more sources
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
wiley +1 more source
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
wiley +1 more source
Algebraic structure and basics of analysis of n-dimensional quaternionic space. [PDF]
Heliyon, 2021 Altun D, Yüce S.
europepmc +1 more source
Some extensions of quaternions and symmetries of simply connected space forms
, 2019 It is known that the groups of Euclidean rotations in dimension 3 (isometries of $S^2$), general Lorentz transformations in dimension 4 (Hyperbolic isometries in dimension 3), and screw motions in dimension 3 can be represented by the groups of unit--norm elements in the algebras of real quaternions, biquaternions (complex quaternions) and dual ...
Arizmendi, Gerardo +1 more
openaire +2 more sources
Hineva Inequality on Some Submanifolds of Quaternionic Space forms
In this article, we establish Hineva inequality for different types of submanifolds of Quaternionic Space ...
Harry, Idrees Fayaz +2 more
openaire +2 more sources