Results 1 to 10 of about 98 (89)
The moduli space of points in quaternionic projective space
Hiroshima Mathematical Journal, 2022 31 ...
Wensheng Cao
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On the Ricci tensor of real hypersurfaces of quaternionic projective space
International Journal of Mathematics and Mathematical Sciences, 1996 We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
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Polar foliations on quaternionic projective spaces [PDF]
Tohoku Mathematical Journal, 2018 We classify irreducible polar foliations of codimension $q$ on quaternionic projective spaces $\mathbb H P^n$, for all $(n,q)\neq(7,1)$. We prove that all irreducible polar foliations of any codimension (resp. of codimension one) on $\mathbb H P^n$ are homogeneous if and only if $n+1$ is a prime number (resp. $n$ is even or $n=1$).
Claudio Gorodski +1 more
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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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ON A COMPACT AND MINIMAL REAL HYPERSURFACE IN A QUATERNIONIC PROJECTIVE SPACE
Bulletin of the Korean Mathematical Society, 2005 Let \(\mathbb Q\mathbb P^n\) be a quaternionic projective space of real dimension \(4n\) \((n\geq 2)\), with the Fubini-Study metric of constant \(\mathbb Q\)-sectional curvature 4 and \(M^{\mathbb Q}_{0, n-1}\) be the geodesic minimal hypersphere of \(\mathbb Q\mathbb P^n\). The authors give a new characterization of the hypersphere \(M^{\mathbb Q}_{0,
Imsoon Jeong
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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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Symmetries of quaternionic Kähler manifolds with S1‐symmetry
Transactions of the London Mathematical Society, 2021 We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra g of infinitesimal automorphisms of the initial hyper‐Kähler data, we associate a central extension of g, acting by infinitesimal ...
V. Cortés, A. Saha, D. Thung
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Higher derivative couplings of hypermultiplets
Journal of High Energy Physics, 2023 We construct the four-derivative supersymmetric extension of (1, 0), 6D supergravity coupled to Yang-Mills and hypermultiplets. The hypermultiplet scalars are taken to parametrize the quaternionic projective space Hp(n) = Sp(n, 1)/Sp(n) × Sp(1) R .
Hao-Yuan Chang +2 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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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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