Results 21 to 30 of about 277 (149)
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.
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The moduli space of points in quaternionic projective space
Hiroshima Mathematical Journal, 2022 31 ...
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Minimal $\delta(2)$-ideal Lagrangian submanifolds and the Quaternionic projective space [PDF]
, 2023 We construct an explicit map from a generic minimal $\delta(2)$-ideal Lagrangian submanifold of $\mathbb{C}^n$ to the quaternionic projective space $\mathbb{H}P^{n-1}$, whose image is either a point or a minimal totally complex surface. A stronger result
Luc Vrancken +5 more
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Whitney numbers of projective space over R, C, H and the p-adics [PDF]
, 1995 We define Whitney numbers for real projective space, complex projective space, quaternionic projective space, and projective space over the p ...
Fisk, Steve
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PROJECTIVE STRUCTURES AND -CONNECTIONS [PDF]
, 2018 We extend T. Y. Thomas’s approach to projective structures, over the complex analytic category, by involving the$\unicode[STIX]{x1D70C}$-connections. This way, a better control of projective flatness is obtained and, consequently, we have, for example ...
Radu Pantilie
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Limit sets of cyclic quaternionic Kleinian groups [PDF]
, 2023 In this paper, we consider the natural action of $\mathrm{SL}(3, \mathbb{H})$ on the quaternionic projective space $ \mathbb{P}_{\mathbb{H}}^2$. Under this action, we investigate limit sets for cyclic subgroups of $\mathrm{SL}(3, \mathbb{H})$. We compute
Dutta, Sandipan +2 more
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Immersing projective spaces in Euclidean space [PDF]
, 1991 SynopsisUsing theKOℝ/2-theoretic obstruction theory developed in [4] and [5], necessary and sufficient conditions are derived for quaternionic projective spaces ℍPkand odd-dimensional complex projective spaces ℂP2k+1, of real dimensionmsay, to immerse in
M. C. Crabb
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Maps to Spaces in the Genus of Infinite Quaternionic Projective Space [PDF]
, 2003 Spaces in the genus of infinite quaternionic projective space which admit essential maps from infinite complex projective space are classified. In these cases the sets of homotopy classes of maps are described explicitly. These results strengthen the classical theorem of McGibbon and Rector on maximal torus admissibility for spaces in the genus of ...
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Projective geometry and the quaternionic Feix-Kaledin construction [PDF]
, 2019 Starting from a complex manifold S with a real-analytic c-projective structure whose curvature has type (1, 1), and a complex line bundle L → S with a connection whose curvature has type (1, 1), we construct the twistor space Z of a quaternionic manifold
Calderbank, David M. J. +1 more
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Complex and Riemannian geometry: quaternionic manifolds [PDF]
, 2023 The starting point of the thesis is the definition of an almost quaternionic manifold as a real 4n---manifold admitting a GL(n,H) Sp(1)-structure. It is showh that there exist two obstructions C0,C1, to the integrability of such a structure, and the ...
Salamon, Simon
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