Results 141 to 150 of about 738,602 (182)

A note on the quaternionic quasi-projective space

open access: yesA note on the quaternionic quasi-projective space
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Parallel submanifolds in a quaternion projective space

open access: yesParallel submanifolds in a quaternion projective space
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Real hypersurfaces in quaternionic projective space [PDF]

open access: yesAnnali di Matematica Pura ed Applicata, 1986
This paper is devoted to make a systematic study of real hypersurfaces of quaternionic projective space using focal set theory. We obtain three types of such real hypersurfaces. Two of them are known. Third type is new and in its study the first example of proper quaternion CR-submanifold appears.
Antonio Martínez, Juan de Dios Pérez
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Planar geodesic submanifolds in a quaternionic projective space

Geometriae Dedicata, 1988
The 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.
Tae Ho Kang, Jin Suk Pak
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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 SYMMETRIC SQUARES OF COMPLEX AND QUATERNIONIC PROJECTIVE SPACE – ADDENDUM

Glasgow Mathematical Journal, 2018
The page numbers shown in Appendix B have been updated to reflect the final pagination of the article.
Yumi Boote, N. Ray
semanticscholar   +1 more source

On the Quaternion Ball and the Quaternion Projective Space

Acta Mathematica Sinica, English Series, 2005
Since 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, 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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