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The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3 [PDF]
Chang‐Kui Duan, Ling He
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ON A COMPACT AND MINIMAL REAL HYPERSURFACE IN A QUATERNIONIC PROJECTIVE SPACE
Yeong-Wu Choe, Imsoon Jeong
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Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces
Lucio Bedulli, Anna Maria Gori
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A note on the quaternionic quasi-projective space
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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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On the Quaternion Ball and the Quaternion Projective Space
Acta Mathematica Sinica, English Series, 2005Since the quaternion ball was used to study the AdS/CFT problems for spinor fields, it is worthwhile to study further the geometry (in sense of Klein) and analysis on it and on its extended space (in the sense of Behnke–Thullen), the quaternion projective space.
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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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Planar geodesic submanifolds in a quaternionic projective space
Geometriae Dedicata, 1988The planar geodesic submanifolds of a quaternionic projective space are studied. Especially, these submanifolds which are totally real or quaternionic CR-submanifolds are completely classified. Also, the non-existence of a planar geodesic, proper QR-product in a quaternionic projective space is proved.
J. Pak, T. Kang
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Moduli of Quaternionic Superminimal Immersions of 2-Spheres into Quaternionic Projective Spaces
Annals of Global Analysis and Geometry, 1998The aim of this paper is to describe the moduli spaces of degree d quaternionic superminimal maps from 2-spheres to quaternionic projective spaces HPn. We show that such moduli spaces have the structure of projectivized fibre products and are connected quasi-projective varieties of dimension 2nd + 2n + 2.
Kobak, P.Z., Loo, B.
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EINSTEIN–KÄHLER SUBMANIFOLDS IN A QUATERNION PROJECTIVE SPACE [PDF]
In this paper, half-dimensional Einstein–Kahler submanifolds or locally reducible Kahler submanifolds are classified in a quaternion projective space.
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