Results 41 to 50 of about 5,178 (157)
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
Dual quaternion representation of points, lines and planes
Discrete and Continuous Models and Applied Computational ScienceBackground. The bulk of the work on dual quaternions is devoted to their application to describe helical motion. Little attention is paid to the representation of points, lines, and planes (primitives) using them. Purpose. It is necessary to consistently
Migran N. Gevorkyan +4 more
doaj +1 more source
A direct approach to quaternionic manifolds
, 2016 The recent definition of slice regular function of several quaternionic variables suggests a new notion of quaternionic manifold. We give the definition of quaternionic regular manifold, as a space locally modeled on $\mathbb{H}^n$, in a slice regular ...
Gentili, Graziano +2 more
core +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
Classification of invariant AHS--structures on semisimple locally symmetric spaces
, 2013 In this article, we discuss which semisimple locally symmetric spaces admit an AHS--structure invariant to local symmetries. We classify them for all types of AHS--structures and determine possible equivalence classes of such AHS--structures.Comment ...
Gregorovič, Jan
core +1 more source
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
On some Moment Maps and Induced Hopf Bundles in the Quaternionic Projective Space
, 2000 We describe a diagram containing the zero sets of the moment maps associated to the diagonal U(1) and Sp(1) actions on the quaternionic projective space HP^n.
Ornea, Liviu, Piccinni, Paolo
core +3 more sources
Harmonic tori in quaternionic projective 3-spaces [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: Burstall classified conformal non-superminimal harmonic two-tori in spheres and complex projective spaces. In this paper, we classify conformal non-superminimal harmonic two-tori in a 2- or 3-dimensional quaternionic projective space, which are not always covered by primitive harmonic two-tori of finite type.
openaire +1 more source
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
, 2007 Motivated by black hole physics in N=2, D=4 supergravity, we study the geometry of quaternionic-Kahler manifolds M obtained by the c-map construction from projective special Kahler manifolds M_s.
A. Neitzke +30 more
core +4 more sources