Results 51 to 60 of about 250 (140)
Torus Action on Quaternionic Projective Plane and Related Spaces [PDF]
Arnold Mathematical Journal, 2020 22 pages, 6 ...
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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
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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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
Inertia groups and smooth structures on quaternionic projective spaces [PDF]
, 2022 Samik Basu, Ramesh Kasilingam
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Totally real minimal submanifolds in a quaternion projective space [PDF]
Annales Polonici Mathematici, 1996 Let \(QP^n(c)\) be a \(4n\)-dimensional quaternionic projective space with constant quaternionic sectional curvature \(c>0\). In this paper, the author studies totally real minimal submanifolds in \(QP^n(c)\) and obtains the following result. Let \(M\) be a 4-dimensional compact oriented projectively flat totally real minimal submanifold in \(QP^4(c)\).
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Range characterization of Radon transforms on quaternionic projective spaces [PDF]
Mathematische Annalen, 1994 We define a Radon transform \(R=R_ l\) from functions on \(\mathbb{P}^ n \mathbb{H}\) to functions on \(Gr(l,n; \mathbb{H})\), the quaternionic Grassmann manifold of all the projective \(l\)-planes in \(\mathbb{P}^ n \mathbb{H}\), by averaging functions on \(\mathbb{P}^ n \mathbb{H}\) over projective \(l\)-planes. Under the assumption \(1 \leq l \leq n
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ON SOME MOMENT MAPS AND INDUCED HOPF BUNDLES IN THE QUATERNIONIC PROJECTIVE SPACE [PDF]
, 2000 Liviu Ornea, Paolo Piccinni
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Factorization of quaternionic polynomials of bi-degree (n,1). [PDF]
Beitr Algebra Geom, 2023 Lercher J +3 more
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