ON A COMPACT AND MINIMAL REAL HYPERSURFACE IN A QUATERNIONIC PROJECTIVE SPACE
Bulletin of the Korean Mathematical Society, 2005 Let \(\mathbb Q\mathbb P^n\) be a quaternionic projective space of real dimension \(4n\) \((n\geq 2)\), with the Fubini-Study metric of constant \(\mathbb Q\)-sectional curvature 4 and \(M^{\mathbb Q}_{0, n-1}\) be the geodesic minimal hypersphere of \(\mathbb Q\mathbb P^n\). The authors give a new characterization of the hypersphere \(M^{\mathbb Q}_{0,
Imsoon Jeong
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Moduli of Quaternionic Superminimal Immersions of 2-Spheres into Quaternionic Projective Spaces
Annals of Global Analysis and Geometry, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kobak, P.Z., Loo, B.
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Dual quaternions and dual projective spaces
Chaos, Solitons & Fractals, 2009Abstract In this study, dual unitary matrices SUD(2) were obtained. We correspond to one to one elements of the unit dual sphere S D 3 with the dual unitary matrices SUD(2). Thus, we express spherical concepts such as meridians of longitude and parallels of latitude on SUD(2).
Ata, Erhan, Yaylı, Yusuf
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Real hypersurfaces in quaternionic projective space
Annali Di Matematica Pura Ed Applicata, 1986The paper is a systematic study of real hypersurfaces of quaternionic projective spaces via the focal set theory. By using the induced structures on a real hypersurface the authors obtain three classes of real hypersurfaces. Then by means of one of these classes they find an example of a proper quaternion CR-submanifold in the sense of \textit{M ...
Martínez, A., Pérez, J. D.
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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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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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Real hypersurfaces of quaternionic projective space satisfying ▽UiR = 0
Differential Geometry and Its Applications, 1997Juan De Dios Perez, Young Jin Suh
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Real hypersurfaces of quaternionic projective space satisfying $$\nabla _{U_i } A = 0$$
Journal of Geometry, 1994Juan De Dios Perez
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Minimal two-spheres with constant curvature in the quaternionic projective space
Science China Mathematics, 2019Jie Fei
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Scalar curvature of QR-submanifolds with maximal QR-dimension in a quaternionic projective space
Indian Journal of Pure and Applied Mathematics, 2011Hyang Sook Kim, Jin Suk Pak
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