Results 1 to 10 of about 71 (64)
On the quaternion projective space [PDF]
Journal of Taibah University for Science, 2020 Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we
Y. Omar +4 more
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RICCI CURVATURE OF SUBMANIFOLDS IN A QUATERNION PROJECTIVE SPACE [PDF]
Communications of the Korean Mathematical Society, 2002 Summary: Recently, Chen establishes sharp relationship between the \(k\)-Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. We establish sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in quaternion projective spaces.
Liu, Ximin, Dai, Wanji
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On the stability of the quaternion projective space
Reports on Mathematical Physics10 pages, revised version. We have harmonized the signs of two formulas taken from different references, but which corresponded to some distinct sign conventions for the Riemannian curvature tensor.
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ON THE SYMMETRIC SQUARES OF COMPLEX AND QUATERNIONIC PROJECTIVE SPACE [PDF]
Glasgow Mathematical Journal, 2018 AbstractThe problem of computing the integral cohomology ring of the symmetric square of a topological space has long been of interest, but limited progress has been made on the general case until recently. We offer a solution for the complex and quaternionic projective spaces$\mathbb{K}$Pn, by utilising their rich geometrical structure.
Boote, Yumi, Ray, Nigel
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A NOTE ON THE QUATERNIONIC QUASI-PROJECTIVE SPACE
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1984 According to \textit{I. M. James} [The topology of Stiefel manifolds, Lond. Math. Soc. Lect. Note Ser. 24 (1976; Zbl 0337.55017)], the quaternionic quasi-projective space \({\mathbb{H}}{\mathbb{Q}}_ n\) is defined in two ways. In this paper the authors show that the two definitions are equivalent and that the map \(t_ n: {\mathbb{H}}{\mathbb{Q}}_ n\to ...
MUKAI, Juno, OKA, Shichirô
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On the Stable Homotopy of Quaternionic and Complex Projective Spaces [PDF]
Proceedings of the American Mathematical Society, 1970 Let the image in H 4 k
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Inertia groups and smooth structures on quaternionic projective spaces [PDF]
Forum Mathematicum, 2022 Abstract This paper deals with certain results on the number of smooth structures on quaternionic projective spaces, obtained through the computation of inertia groups and their analogues, which in turn are computed using techniques from stable homotopy theory. We show that the concordance inertia group is trivial in dimension 20, but
Basu, Samik, Kasilingam, Ramesh
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Homeomorphisms of Quaternion space and projective planes in four space [PDF]
Journal of the Australian Mathematical Society, 1977 AbstractIt is known that all locally flat projective planes in S4 have homeomorphic normal disk bundles. In this paper we investigate the homeomorphisms of Q3 (= boundary of the normal disk bundle) on to itself. We show that a homeomorphisms of Q3 onto itself is determined, up to isotopy, by the outerautomorphism of π1(Q3) that it induces.
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Projective group representations in quaternionic Hilbert space [PDF]
Journal of Mathematical Physics, 1996 We extend the discussion of projective group representations in quaternionic Hilbert space that was given in our recent book. The associativity condition for quaternionic projective representations is formulated in terms of unitary operators and then analyzed in terms of their generator structure.
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The moduli space of points in quaternionic projective space
Hiroshima Mathematical Journal, 2022 31 ...
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