Results 1 to 10 of about 479,173 (144)
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 which was given in our recent book. The associativity condition for quaternionic projective representations is formulated in terms of unitary operators and then ...
Emch G., Stephen L. Adler, Uhlhorn U.
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Response to the Comment by G. Emch on Projective Group Representations in Quaternionic Hilbert Space [PDF]
J.Math.Phys. 37 (1996) 6586-6589, 1996 We discuss the differing definitions of complex and quaternionic projective group representations employed by us and by Emch. The definition of Emch (termed here a strong projective representation) is too restrictive to accommodate quaternionic Hilbert ...
Adler, S. L.
core +4 more sources
On submersion and immersion submanifolds of a quaternionic projective space [PDF]
Acta Universitatis Sapientiae: Mathematica, 2016 We study submanifolds of a quaternionic projective space, it is of great interest how to pull down some formulae deduced for submanifolds of a sphere to those for submanifolds of a quaternionic projective space.
Abedi Esmail, Nazari Zahra
doaj +3 more sources
On quaternionic bisectional curvature [PDF]
arXiv, 2023 In this article we study the concept of quaternionic bisectional curvature introduced by B. Chow and D. Yang for quaternion-K\"ahler manifolds. We show that non-negative quaternionic bisectional curvature is only realized for the quaternionic projective ...
Macia, Oscar +2 more
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On certain real hypersurfaces of quaternionic projective space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 We classify certain real hypersurfaces ot a quaternionic projective space satisfying the condition σ(R(X,Y)SZ)=0.
Juan De Dios Perez, Florentino G. Santos
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Loop homology of quaternionic projective spaces [PDF]
arXiv, 2010 We determine the Batalin-Vilkovisky algebra structure of the integral loop homology of quaternionic projective spaces and octonionic projective plane.
Cadek, Martin, Moravec, Zdenek
arxiv +3 more sources
A characterization of quaternionic projective space by the conformal-Killing equation [PDF]
Journal of the London Mathematical Society, 2008 We prove that a compact quaternionic-K\"{a}hler manifold of dimension $4n\geq 8$ admitting a conformal-Killing 2-form which is not Killing, is isomorphic to the quaternionic projective space, with its standard quaternionic-K\"{a}hler structure.
L. DAVID, PONTECORVO, Massimiliano
arxiv +7 more sources
Moduli of triples of points in quaternionic hyperbolic geometry [PDF]
arXiv, 2023 In this work, we describe the moduli of triples of points in quaternionic projective space which define uniquely the congruence classes of such triples relative to the action of the isometry group of quaternionic hyperbolic space ${\rm H}^n_{\mathbb{Q}}$.
Almeida, Igor, Gusevskii, Nikolay
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Willmore spheres in quaternionic projective space [PDF]
arXiv, 2002 The Willmore energy for Frenet curves in quaternionic projective space is the generalization of the Willmore functional for immersions into the 4-sphere. Critical points of the Willmore energy are called Willmore curves in quaternionic projective space.
arxiv +3 more sources
Torus action on quaternionic projective plane and related spaces [PDF]
Arnold Mathematical Journal, 2019 For an action of a compact torus $T$ on a smooth compact manifold~$X$ with isolated fixed points the number $\frac{1}{2}\dim X-\dim T$ is called the complexity of the action.
Ayzenberg, Anton
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