Results 81 to 90 of about 257,637 (166)
Brane structures in microlocal sheaf theory
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract Let L$L$ be an exact Lagrangian submanifold of a cotangent bundle T∗M$T^* M$, asymptotic to a Legendrian submanifold Λ⊂T∞M$\Lambda \subset T^{\infty } M$. We study a locally constant sheaf of ∞$\infty$‐categories on L$L$, called the sheaf of brane structures or BraneL$\mathrm{Brane}_L$.
Xin Jin, David Treumann
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Geometric algebra methods in volumetric accuracy analysis
Mathematical Methods in the Applied Sciences, Volume 47, Issue 3, Page 1236-1247, February 2024.With the help of plane geometric algebra, we see volumetric errors as pure geometric objects. We use this identification to expand errors with respect to Abbe's principle into the whole working space with respect to some additional conditions. We show that geometric algebra helps us to understand errors in kinematics chains. We demonstrate our approach
Barbora Navrátilová +2 more
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Image processing using the quantum quaternion Fourier transform
Mathematical Methods in the Applied Sciences, Volume 47, Issue 3, Page 1305-1317, February 2024.There is a growing interest in quantum image processing (QIP) that rose from the desire to exploit the properties of quantum computing to improve the performance of classical techniques and their applications. Since the introduction of a quaternion by Hamilton in 1843, quaternions had been used in a lot of applications.
Eduardo Bayro‐Corrachono +1 more
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
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
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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.
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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
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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
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
Harmonic tori in quaternionic projective 3-spaces [PDF]
Proceedings of the American Mathematical Society, 1997 Burstall classified conformal non-superminimal harmonic two-tori in spheres and complex projective spaces. In this paper, we shall classify conformal non-superminimal harmonic two-tori in a 2or 3-dimensional quaternionic protective space, which are not always covered by primitive harmonic two-tori of finite type.
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