Results 111 to 120 of about 250 (140)

Rational homotopy type and nilpotency of mapping spaces between Quaternionic projective spaces

Tilahun Abebaw, J.-B. Gatsinzi, Smegnsh Demelash Yeruk   +2 more
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Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces

, 2008
Lucio Bedulli, Anna Maria Gori
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Minimal two-spheres with constant curvature in the quaternionic projective space

, 2018
Jie Fei, Chiakuei Peng, Xiaowei Xu
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Real hypersurfaces in quaternionic projective space [PDF]

Annali di Matematica Pura ed Applicata, 1986
The 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 ...
Antonio Martínez, Juan de Dios Pérez
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Dual quaternions and dual projective spaces

Chaos, Solitons & Fractals, 2009
Abstract 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, 2005
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EINSTEIN–KÄHLER SUBMANIFOLDS IN A QUATERNION PROJECTIVE SPACE [PDF]

Bulletin of the London Mathematical Society, 2004
The 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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Planar geodesic submanifolds in a quaternionic projective space

Geometriae Dedicata, 1988
In the present paper the totally real planar geodesic submanifolds of the quaternionic projective space QP(c) are classified. It is also proved that the only planar geodesic quaternionic CR-submanifolds of QP(c) are the invariant and totally real submanifolds. Finally, quaternionic CR- submanifolds are studied, whose geodesics are circles in QP(c).
Tae Ho Kang, Jin Suk Pak
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Moduli of Quaternionic Superminimal Immersions of 2-Spheres into Quaternionic Projective Spaces

Annals of Global Analysis and Geometry, 1998
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Kobak, P.Z., Loo, B.
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Split quaternions and semi-Euclidean projective spaces

Chaos, Solitons & Fractals, 2009
Abstract 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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