Results 131 to 140 of about 5,178 (157)
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Harmonic morphisms from quaternionic projective spaces
Geometriae Dedicata, 1995Harmonic morphisms are maps between Riemannian manifolds, say, from \(M\) to \(N\), which pull back germs of real-valued harmonic functions on \(N\) to germs of harmonic functions on \(M\). In this paper, the author constructs harmonic morphisms from certain open subsets of quaternionic projective spaces to a Riemann surface.
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EINSTEIN–KÄHLER SUBMANIFOLDS IN A QUATERNION PROJECTIVE SPACE
Bulletin of the London Mathematical Society, 2004The author classifies the Kähler submanifolds of a (real) \(4n\)-dimensional quaternion projective space which have (real) dimension \(2n\) and which are Einstein spaces or locally reducible spaces. In order to do so, he shows that such submanifolds have parallel second fundamental form and uses his classification of \(2n\)-dimensional Kähler ...
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Split quaternions and semi-Euclidean projective spaces
Chaos, Solitons & Fractals, 2009Abstract In this study, we give one-to-one correspondence between the elements of the unit split three-sphere S ( 3 , 2 ) with the complex hyperbolic special unitary matrices SU ( 2 , 1 ) . Thus, we express spherical concepts such as meridians of longitude and parallels of latitude on SU ( 2 , 1 ) by using the ...
Ata, Erhan, Yaylı, Yusuf
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Quaternionic line bundles over quaternionic projective spaces
2006The authors consider the problem of enumerating the quaternionic line bundles over quaternionic projective spaces, that is, enumerating the set of based homotopy classes of self-maps of such projective spaces. They solve the problem completely in dimensions 2 and 3, and go a long way in the general case, where the answer depends only on the parity of ...
Gonçalves, Daciberg L. +1 more
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Biharmonic Submanifolds of the Quaternionic Projective Space
Journal of Geometry and PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonexistence of Almost-Quaternion Substructures on the Complex Projective Space
Canadian Mathematical Bulletin, 1985AbstractIt is shown that there are no almost-quaternion substructures on the complex projective space Pn(ℂ).
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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Ab Initio Machine Learning in Chemical Compound Space
Chemical Reviews, 2021Bing Huang, O Anatole Von Lilienfeld
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