Results 21 to 30 of about 250 (140)

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, A. M. Shahin, E. Ahmed, A. M. K. Tarabia, H. A. A. El-Saka   +4 more
openaire   +3 more sources

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
doaj   +1 more source

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, Ergin Sezgin, Yoshiaki Tanii   +2 more
doaj   +1 more source

Real hypersurfaces of type A in quarternionic projective space

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper, under certain conditions on the orthogonal distribution 𝒟, we give a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
U-Hang Ki, Young Jin Suh, Juan De Dios Pérez   +2 more
doaj   +1 more source

Involutions fixing HP1(2m)∪HP2(2m)∪HP(2n+1) of the fixed point set

Journal of Hebei University of Science and Technology, 2015
Let (Mr,T) be a smooth closed manifold of dimension r with a smooth involution T whose fixed point set is F=HP1(2m)∪HP2(2m)∪HP(2n+1)(m≥1), where HP(n) denotes the n-dimensional quaternionic projective space.
Suqian ZHAO
doaj   +1 more source

On real hypersurfaces in quaternionic projective space with 𝒟⊥-recurrent second fundamental tensor

International Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with 𝒟⊥-recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟.
Young Jin Suh, Juan De Dios Pérez
doaj   +1 more source

QR-Submanifolds of (p−1)  QR-Dimension in a Quaternionic Projective Space QP(n+p)/4 under Some Curvature Conditions

International Journal of Mathematics and Mathematical Sciences, 2013
The purpose of this paper is to study n-dimensional QR-submanifolds of (p−1)QR-dimension in a quaternionic projective space QP(n+p)/4 and especially to determine such submanifolds under some curvature conditions.
Hyang Sook Kim, Jin Suk Pak
doaj   +1 more source

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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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.
Ximin Liu, Wanji Dai
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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.
openaire   +2 more sources