Results 11 to 20 of about 5,080 (119)
Quaternionic Line Bundles over Quaternionic Projective Spaces [PDF]
, 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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Torus action on quaternionic projective plane and related spaces [PDF]
Arnold Mathematical Journal, 2019 For an action of a compact torus $T$ on a smooth compact manifold~$X$ with isolated fixed points the number $\frac{1}{2}\dim X-\dim T$ is called the complexity of the action.
Ayzenberg, Anton
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Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces
Journal of Lie Theory, 2008 We classify isometric actions of compact Lie groups on quaternionic-K\"ahler projective spaces with vanishing homogeneity rank. We also show that they are not in general quaternion-coisotropic.Comment: 18 pages.
Bedulli, Lucio, Gori, Anna
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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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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 ( QP ∞ : Z ) = Z {H_{4k}}({\operatorname {QP} ^\infty }:Z) = Z of stable homotopy under the Hurewicz homomorphism be
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, 1995 We present the simplest non-abelian version of Seiberg-Witten theory: Quaternionic monopoles. These monopoles are associated with Spin^h(4)-structures on 4-manifolds and form finite-dimensional moduli spaces. On a Kahler surface the quaternionic monopole
Andrei Teleman +17 more
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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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