Results 81 to 90 of about 730,375 (178)
The orthogonal projection on slice functions on the quaternionic sphere [PDF]
, 2015 We study the $L^p$ norm of the orthogonal projection from the space of quaternion valued $L^2$ functions to the closed subspace of slice $L^2$ functions.
arxiv +1 more source
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley +1 more source
A characterization of almost-Einstein real hypersurfaces of quaternionic projective space
, 1997 . Almost-Einstein real hypersurfaces of quaternionic projective space, as defined in [3], can be characterized by a condition involving their curvature and Ricci tensors.
J. Pérez
semanticscholar +1 more source
Unification of Gravity and Internal Interactions
Fortschritte der Physik, Volume 72, Issue 1, January 2024.Abstract In the gauge theoretic approach of gravity, general relativity is described by gauging the symmetry of the tangent manifold in four dimensions. Usually the dimension of the tangent space is considered to be equal to the dimension of the curved manifold. However, the tangent group of a manifold of dimension d is not necessarily SOd$SO_d$.
Spyros Konitopoulos +2 more
wiley +1 more source
Submaximally Symmetric Almost Quaternionic Structures [PDF]
arXiv, 2016 The symmetry dimension of a geometric structure is the dimension of its symmetry algebra. We investigate symmetries of almost quaternionic structures of quaternionic dimension $n$. The maximal possible symmetry is realized by the quaternionic projective space $\mathbb{H}P^n$, which is flat and has the symmetry algebra $\mathfrak{sl}(n+1,\mathbb{H})$ of
arxiv
Quantization of the Geodesic flow on Quaternion Projective Spaces
Annals of Global Analysis and Geometry, 2002 no ...
openaire +3 more sources
Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this study, some curvature conditions of quaternionic curves are obtained by writing the position vectors of quaternionic curves as linear combinations of new vector fields, named as Di (1 ≤ i ≤ 4), that are produced from Frenet frame fields of the quaternionic curves.
İlim Kişi +3 more
wiley +1 more source
Quaternionic Killing Spinors [PDF]
arXiv, 1997 In a previous article we proved a lower bound for the spectrum of the Dirac operator on quaternionic Kaehler manifolds. In the present article we study the limiting case, i. e. manifolds where the lower bound is attained as an eigenvalue. We give an equivalent formulation in terms of a quaternionic Killing equation and show that the only symmetric ...
arxiv
Totally Real Submanifolds in a Quaternion Projective Space
Tokyo Journal of Mathematics, 1996 In this paper, we will obtain some new intrinsic rigidity theorems of compact totally real minimal submanifolds in a quaternion projective space. So the corresponding results due to B. Y. Chen and C. S. Houh as well as Y. B. Shen are improved.
openaire +3 more sources
A Method of Image Restoration for Distortion of Object in Water‐Air Cross‐Media
International Journal of Distributed Sensor Networks, Volume 2024, Issue 1, 2024.Uneven water‐air media distribution or irregular liquid flow can cause changes in light propagation, leading to blurring and distortion of the extracted image, which presents a challenge for object recognition accuracy. To address these issues, this paper proposes a repair network to correct object image distortion in water‐air cross‐media.
Yuhe Gao +6 more
wiley +1 more source