Results 31 to 40 of about 5,178 (157)

Homeomorphisms of Quaternion space and projective planes in four space [PDF]

Journal of the Australian Mathematical Society, 1977
AbstractIt is known that all locally flat projective planes in S4 have homeomorphic normal disk bundles. In this paper we investigate the homeomorphisms of Q3 (= boundary of the normal disk bundle) on to itself. We show that a homeomorphisms of Q3 onto itself is determined, up to isotopy, by the outerautomorphism of π1(Q3) that it induces.
openaire   +2 more sources

Quaternionic Hyperbolic Fenchel-Nielsen Coordinates

, 2018
Let $Sp(2,1)$ be the isometry group of the quaternionic hyperbolic plane ${{\bf H}_{\mathbb H}}^2$. An element $g$ in $Sp(2,1)$ is `hyperbolic' if it fixes exactly two points on the boundary of ${{\bf H}_{\mathbb H}}^2$.
Gongopadhyay, Krishnendu, Kalane, Sagar B.   +1 more
core   +1 more source

Completeness in supergravity constructions

, 2011
We prove that the supergravity r- and c-maps preserve completeness. As a consequence, any component H of a hypersurface {h=1} defined by a homogeneous cubic polynomial such that -d^2 h is a complete Riemannian metric on H defines a complete projective ...
A. Chou, B. Wit de, B. Wit de, B. Wit de, B. Wit de, B. Wit de, C. Mayer, D. Freed, D. Gaiotto, D. Robles-Llana, D. Robles-Llana, D.R. Morrison, D.V. Alekseevskiĭ, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, E. Cremmer, E. Witten, I. Antoniadis, I. Antoniadis, J. De Jaehger, J. Louis, M. Rocek, S. Alexandrov, S. Alexandrov, S. Cecotti, S. Ferrara, S. Kachru, S. Kachru, T. Mohaupt, V. Cortés, V. Cortés, V. Cortés, V. Cortés, V. Cortés, X. Han   +35 more
core   +1 more source

Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

Comptes Rendus. Mathématique
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
doaj   +1 more source

Glimpses of the Octonions and Quaternions History and Todays Applications in Quantum Physics

, 2008
Before we dive into the accessibility stream of nowadays indicatory applications of octonions to computer and other sciences and to quantum physics let us focus for a while on the crucially relevant events for todays revival on interest to ...
A.K. Kwaśniewski, Andrzej Krzysztof Kwaśniewski, B.L. Waerden van der, Bremner Murray, C.C. Lassig, Dickson Leonard Eugene, G.H. Hardy, I.M. Yaglom, J. Rembieliski, J.A. Nieto, Jiang Tongsong, Jiang Tongsong, Jiang Tongsong, Jiang. Tongsong, Jiang. Tongsong, Jordan Pascual, L.P. Horwitz, Leo. Stefano De, Z. Hasiewicz, Z. Hasiewicz   +19 more
core   +2 more sources

Loop homology of quaternionic projective spaces

, 2010
8 ...
Cadek, Martin, Moravec, Zdenek
openaire   +2 more sources

RICCI CURVATURE OF SUBMANIFOLDS IN A QUATERNION PROJECTIVE SPACE [PDF]

Communications of the Korean Mathematical Society, 2002
Summary: Recently, Chen establishes sharp relationship between the \(k\)-Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. We establish sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in quaternion projective spaces.
Liu, Ximin, Dai, Wanji
openaire   +1 more source

A Superalgebra Within: Representations of Lightest Standard Model Particles Form a Z25$\mathbb {Z}_2^5$‐Graded Algebra

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
wiley   +1 more source

Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15035-15048, 15 November 2025.
ABSTRACT Superquadrics are one of the most suitable geometric tools for modeling many complex shapes in nature. It is possible to model many objects, human figures, and living creatures in nature in a suitable way by means of superquadrics. On the other hand, quaternions are useful in mathematics, especially for computations involving three‐dimensional
Zehra Özdemir, Esra Parlak
wiley   +1 more source