Results 71 to 80 of about 3,896,545 (115)
Equivariant harmonic maps of the complex projective spaces into the quaternion projective spaces
Equivariant harmonic maps of the complex projective spaces into the quaternion projective spacesWe classify equivariant harmonic maps of the complex projective spaces CPm into the quaternion projective spaces. To do this, we employ differential geometry of vector bundles and connections. When the domain is the complex projective line, we have one parameter family of those maps. (This result is already shown in [2]and [4]in other ways).
Isami Koga, Yasuyuki Nagatomo
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The string topology coproduct on complex and quaternionic projective space
On the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these explicit cycles to compute the string topology coproduct on complex and quaternionic projective space.
Stegemeyer, Maximilian
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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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Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces
Journal of Lie Theory, 2008 We classify isometric actions of compact Lie groups on quaternionic-Kähler projective spaces with vanishing homogeneity rank. We also show that they are not in general quaternion-coisotropic.
BEDULLI, LUCIO, GORI A.
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Willmore spheres in quaternionic projective space
, 2002 23 pages, v2: improved presentation, qualified references ...
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Twistorial maps between quaternionic manifolds [PDF]
, 2010 We introduce a natural notion of quaternionic map between almost quaternionic manifolds and we prove the following, for maps of rank at least one A map between quaternionic manifolds endowed with the integrable almost twistorial structures is twistorial ...
S. Ianus +6 more
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Parallel submanifolds in a quaternion projective space
Osaka Journal of Mathematics, 1985 The purpose of the paper is to classify submanifolds with parallel second fundamental form in a quaternion projective space and its non-compact dual space. In order to do so, the author performs a systematic study of three kinds of immersions of a Riemannian manifold into a quaternion Kaehler manifold: totally real, totally complex and invariant ...
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PROJECTIVE STRUCTURES AND -CONNECTIONS
, 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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Projective-Space Colour Filters Using Quaternion Algebra
, 2008 Publication in the conference proceedings of EUSIPCO, Lausanne, Switzerland ...
Todd A. Ell, Stephen J. Sangwine
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Stable Self Maps of the Quaternionic (Quasi-) Projective Space
Publications of the Research Institute for Mathematical Sciences, 1984 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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