Results 11 to 20 of about 250 (140)

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 ...
Donald Yau
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Minimal immersion of surfaces in quaternionic projective spaces [PDF]

Tsukuba Journal of Mathematics, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad Zandi
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Ambient surgery and tangential homotopy quaternionic projective spaces. [PDF]

Transactions of the American Mathematical Society, 1969
Introduction. In this paper the word manifold will always mean oriented compact C "-manifold. Unless otherwise specified, all homology and cohomology is taken with integral coefficients, and for Mn an n-manifold, [M] E Hn(M, AM) will denote the orientation class of M. A mapf: M-N between n-manifolds is of degree +1 iff*([M])=[N].
Douglas N. Hertz
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On Connectedness of the Space of Harmonic 2-Spheres in Quaternionic Projective Spaces [PDF]

Tokyo Journal of Mathematics, 1994
Let \(\mathbb{H} P^ n(c)\) be an \(n\)-dimensional quaternionic projective space with the maximum \(c\) of the sectional curvatures. It is known that there are two natural twistor spaces \({\mathcal T}_ n\) and \(\mathbb{C} P^{2n +1}\) over \(\mathbb{H} P^ n\). A harmonic map \(\varphi : \Sigma \to\mathbb{H} P^ n(c)\) is called strongly isotropic (resp.
Mariko Mukai
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A characterization of geodesic hyperspheres of quaternionic projective space [PDF]

Tsukuba Journal of Mathematics, 1997
Let \(M\) be a real hypersurface of a quaternionic projective space \(QP^m\), \(m\geq 3\). Denote by \(R\) the Riemannian curvature tensor and by \(A\) the shape operator of \(M\). The author proves that \(M\) is an open part of a geodesic hypersphere in \(QP^m\) if and only if \(R(X,Y) AZ+R(Y,Z) AX+R(Z,X) AY=0\) holds for all vector fields \(X,Y,Z ...
Juan de Dios Pérez
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A NOTE ON THE QUATERNIONIC QUASI-PROJECTIVE SPACE

Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1984
According to \textit{I. M. James} [The topology of Stiefel manifolds, Lond. Math. Soc. Lect. Note Ser. 24 (1976; Zbl 0337.55017)], the quaternionic quasi-projective space \({\mathbb{H}}{\mathbb{Q}}_ n\) is defined in two ways. In this paper the authors show that the two definitions are equivalent and that the map \(t_ n: {\mathbb{H}}{\mathbb{Q}}_ n\to ...
Juno Mukai, Shichirô Oka
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The maximal codegree of the quaternionic projective spaces [PDF]

Hiroshima Mathematical Journal, 1990
Mitsunori Imaoka
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On submersion and immersion submanifolds of a quaternionic projective space [PDF]

Acta Universitatis Sapientiae, Mathematica, 2016
Abstract 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.
Esmail Abedi, Zahra Nazari
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Willmore spheres in quaternionic projective space

, 2002
23 pages, v2: improved presentation, qualified references ...
Katrin Leschke
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Loop homology of quaternionic projective spaces

, 2010
8 ...
Martin Čadek, Z. Moravec
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