Results 1 to 10 of about 250 (140)
On the Ricci tensor of real hypersurfaces of quaternionic projective space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
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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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The moduli space of points in quaternionic projective space [PDF]
Hiroshima Mathematical Journal, 2022 31 ...
Wensheng Cao
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ON THE SYMMETRIC SQUARES OF COMPLEX AND QUATERNIONIC PROJECTIVE SPACE [PDF]
Glasgow Mathematical Journal, 2018 AbstractThe problem of computing the integral cohomology ring of the symmetric square of a topological space has long been of interest, but limited progress has been made on the general case until recently. We offer a solution for the complex and quaternionic projective spaces$\mathbb{K}$Pn, by utilising their rich geometrical structure.
Yumi Boote, Nigel Ray
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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.
C. A. McGibbon
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Polar foliations on quaternionic projective spaces [PDF]
Tohoku Mathematical Journal, 2015 We classify irreducible polar foliations of codimension $q$ on quaternionic projective spaces $\mathbb H P^n$, for all $(n,q)\neq(7,1)$. We prove that all irreducible polar foliations of any codimension (resp. of codimension one) on $\mathbb H P^n$ are homogeneous if and only if $n+1$ is a prime number (resp. $n$ is even or $n=1$).
Miguel Domínguez-Vázquez +1 more
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A characterization of real hypersurfaces of quaternionic projective space [PDF]
Tsukuba Journal of Mathematics, 1991 Let \((M,g)\) be a connected real hypersurface in the quaternionic projective space \(\mathbb{H} P^ m\) (\(m\geq 2\)) of constant quaternionic sectional curvature 4. Denote by \(T^ 0 M\) the maximal subbundle of \(TM\) which is invariant by the quaternionic Kähler structure of \(\mathbb{H} P^ m\) and by \(N^ 0 M\) its orthogonal complement in \(T ...
Juan de Dios Pérez
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Isospin particle systems on quaternionic projective spaces [PDF]
Physical Review D, 2013 8 pages, PACS numbers: 03.65-w, 02.30.Ik, 1 reference ...
Stefano Bellucci +3 more
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A characterization of quaternionic projective space by the conformal-Killing equation [PDF]
Journal of the London Mathematical Society, 2009 We prove that a compact quaternionic-K 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 hler structure.
Liana David, Massimiliano Pontecorvo
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On the stable homotopy of quaternionic and complex projective spaces. [PDF]
Proceedings of the American Mathematical Society, 1970 Let the image in H 4 k ( QP ∞ : Z ) = Z {H_{4k}}({\operatorname {QP} ^\infty }:Z) = Z of stable homotopy under the Hurewicz homomorphism be
David M. Segal
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