Results 11 to 20 of about 277 (149)
Spaces which Look Like Quaternionic Projective n-Space [PDF]
Transactions of the American Mathematical Society, 1982 The projective n n -spaces which correspond to the various multiplicative structures on the three sphere are studied ...
C. A. McGibbon
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Quaternionic line bundles over quaternionic projective spaces [PDF]
Mathematical Journal of Okayama University, 2006 The authors consider the problem of enumerating the quaternionic line bundles over quaternionic projective spaces, that is, enumerating the set of based homotopy classes of self-maps of such projective spaces. They solve the problem completely in dimensions 2 and 3, and go a long way in the general case, where the answer depends only on the parity of ...
Gonçalves, Daciberg L. +1 more
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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 characterization of quaternionic projective space by the conformal-Killing equation [PDF]
Journal of the London Mathematical Society, 2009 We prove that a compact quaternionic-Kähler manifold of dimension $4n\geq 8$ admitting a conformal-Killing 2-form which is not Killing, is isomorphic to the quaternionic projective space, with its standard quaternionic-Kähler structure.
L. DAVID, PONTECORVO, Massimiliano
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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 consider real, complex and quaternion projective spaces.
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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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.
Basu, Samik, Kasilingam, Ramesh
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The string topology coproduct on complex and quaternionic projective space [PDF]
, 2023 On the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these explicit cycles to compute the string topology coproduct on complex and quaternionic projective space.
Stegemeyer, Maximilian
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