Minimal immersion of surfaces in quaternionic projective spaces [PDF]
Tsukuba Journal of Mathematics, 1988 For a minimal immersion of a surface in a quaternionic Kahler manifold a concept of non-degeneracy is defined. Then using a theorem on ellipticdifferentialsystems we show a non-degenerate surface is in a sense generic, and around each point with possible exception of an isolated set of degenerate points we can define a smooth Darboux frame.
Ahmad Zandi
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A characterization of geodesic hyperspheres of quaternionic projective space [PDF]
Tsukuba Journal of Mathematics, 1997 We study a condition that allows us to characterize geodesichyperspheresamong allrealhypersurfacesofquaternionic projectivespace.
Juan de Dios Pérez
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The maximal codegree of the quaternionic projective spaces [PDF]
Hiroshima Mathematical Journal, 1990 Mitsunori Imaoka
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A remark on the genus of the infinite quaternionic projective space
, 2001 8 ...
Donald Yau
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Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces [PDF]
arXiv, 2008 We classify isometric actions of compact Lie groups on quaternionic-K\"ahler projective spaces with vanishing homogeneity rank. We also show that they are not in general quaternion-coisotropic.
Lucio Bedulli, Anna Maria Gori
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ON SOME MOMENT MAPS AND INDUCED HOPF BUNDLES IN THE QUATERNIONIC PROJECTIVE SPACE [PDF]
, 2000 We describe a diagram containing the zero sets of the moment maps associated to the diagonal U(1) and Sp(1) actions on the quaternionic projective space ℍPn. These sets are related both to focal sets of submanifolds and to Sasakian–Einstein structures on
Liviu Ornea, Paolo Piccinni
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Real submanifolds in a quaternionic projective space [PDF]
Kodai Mathematical Journal, 1978 The second fundamental form plays a very important role in the study of submanifolds, cf. [1]. From this point of view J. Simons established in [12] a formula for the Laplacian of the length of the second fundamental form, which has enabled us to have a ...
Y. Shibuya
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On Connectedness of the Space of Harmonic 2-Spheres in Quaternionic Projective Spaces [PDF]
Tokyo Journal of Mathematics, 1994 Mariko Mukai
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SOME CURVATURE CONDITIONS OF n-DIMENSIONAL QR-SUBMANIFOLDS OF (p-1) QR-DIMENSION IN A QUATERNIONIC PROJECTIVE SPACE QP(n+p)/4 [PDF]
, 2003 The purpose of this paper is to study n-dimensional QR-submanifolds of (p - 1) QR-dimension in a quaternionic projective space and especially to determine such submanifolds under the curvature conditions appeared in (5.1) and (5.2).
Jin-Suk Pak, Won-Ho Sohn
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On the same $N$-type of the suspension of the infinite quaternionic projective space [PDF]
, 2010 Dae-Woong Lee
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