Results 71 to 80 of about 730,375 (178)
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.
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RICCI CURVATURE OF SUBMANIFOLDS IN A QUATERNION PROJECTIVE SPACE [PDF]
Communications of the Korean Mathematical Society, 2002 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. In this paper, we establish sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in quaternion projective spaces.
Ximin Liu, Wanji Dai
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Hofer–Zehnder capacity of disc tangent bundles of projective spaces
Journal of the London Mathematical Society, Volume 110, Issue 1, July 2024.Abstract We compute the Hofer–Zehnder capacity of disc tangent bundles of the complex and real projective spaces of any dimension. The disc bundle is taken with respect to the Fubini–Study resp. round metric, but we can obtain explicit bounds for any other metric.
Johanna Bimmermann
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Involutions on the product of Quaternionic Projective space and Sphere
, 2023 Let G = Z2 act on a finite CW-complex X having mod 2 cohomology isomorphic to the product of quaternionic projective space and sphere HPn x Sm, n, m > or = 1. This paper is concerned with the connected fixed point sets and the orbit spaces of free involutions on X.
Dimpi, Singh, Hemant Kumar
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Closed 3‐forms in five dimensions and embedding problems
Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
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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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Hyper-Hermitian quaternionic Kaehler manifolds [PDF]
arXiv, 2001 We call a quaternionic Kaehler manifold with non-zero scalar curvature, whose quaternionic structure is trivialized by a hypercomplex structure, a hyper-Hermitian quaternionic Kaehler manifold. We prove that every locally symmetric hyper-Hermitian quaternionic Kaehler manifold is locally isometric to the quaternionic projective space or to the ...
arxiv
Range characterization of Radon transforms on quaternionic projective spaces [PDF]
Mathematische Annalen, 1994 The characterization of the ranges of Radon transforms is one of the most important subjects in integral geometry. In fact, for the Radon transforms on Euclidean spaces, this subject has been studied from the several points of view since John's result [18], in which John showed that the range of the X-ray Radon transform on the 3-dimensional Euclidean ...
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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
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