Results 21 to 30 of about 5,080 (119)

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

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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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., Emch G. G., G. G. Emch, S. L. Adler   +3 more
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Spaces which Look Like Quaternionic Projective n-Space [PDF]

Transactions of the American Mathematical Society, 1982
The projective n n -spaces which correspond to the various multiplicative structures on the three sphere are studied. Necessary and sufficient conditions for a projective n n -space to extend to a projective n + 1 n+1 -space are described.
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Completeness in supergravity constructions

, 2011
We prove that the supergravity r- and c-maps preserve completeness. As a consequence, any component H of a hypersurface {h=1} defined by a homogeneous cubic polynomial such that -d^2 h is a complete Riemannian metric on H defines a complete projective ...
A. Chou, B. Wit de, B. Wit de, B. Wit de, B. Wit de, B. Wit de, C. Mayer, D. Freed, D. Gaiotto, D. Robles-Llana, D. Robles-Llana, D.R. Morrison, D.V. Alekseevskiĭ, D.V. Alekseevsky, D.V. Alekseevsky, D.V. Alekseevsky, E. Cremmer, E. Witten, I. Antoniadis, I. Antoniadis, J. De Jaehger, J. Louis, M. Rocek, S. Alexandrov, S. Alexandrov, S. Cecotti, S. Ferrara, S. Kachru, S. Kachru, T. Mohaupt, V. Cortés, V. Cortés, V. Cortés, V. Cortés, V. Cortés, X. Han   +35 more
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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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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

Comptes Rendus. Mathématique
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
doaj   +1 more source

Quaternionic Hyperbolic Fenchel-Nielsen Coordinates

, 2018
Let $Sp(2,1)$ be the isometry group of the quaternionic hyperbolic plane ${{\bf H}_{\mathbb H}}^2$. An element $g$ in $Sp(2,1)$ is `hyperbolic' if it fixes exactly two points on the boundary of ${{\bf H}_{\mathbb H}}^2$.
Gongopadhyay, Krishnendu, Kalane, Sagar B.   +1 more
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