Results 21 to 30 of about 5,178 (157)
Rational homotopy type and nilpotency of mapping spaces between Quaternionic projective spaces
Proceedings of the International Geometry CenterThe rational homotopy type of a mapping space is a way to describe the structure of the space using the algebra of its homotopy groups and the differential graded algebra of its cochains. An L∞-model is a graded Lie algebra with a family of higher-order brackets satisfying the generalized Jacobi identity and antisymmetry.
Tilahun Abebaw +2 more
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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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Almost CR quaternionic manifolds and their immersibility in HP^n [PDF]
, 2016 We apply the general theory of codimension one integrability conditions for $G$-structures developed in arXiv:1306.6817v3 [math.DG] to the case of quaternionic CR geometry.
Santi, Andrea
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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 +2 more
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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
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A Rejoinder on Quaternionic Projective Representations [PDF]
, 1997 In a series of papers published in this Journal (J. Math. Phys.), a discussion was started on the significance of a new definition of projective representations in quaternionic Hilbert spaces.
Emch G. G. +3 more
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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
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Curvature-adapted submanifolds of symmetric spaces [PDF]
, 2012 We study curvature-adapted submanifolds of general symmetric spaces. We generalize Cartan's theorem for isoparametric hypersurfaces of spheres and Wang's classification of isoparametric Hopf hypersurfaces in complex projective spaces to any compact ...
Murphy, Thomas
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