Results 41 to 50 of about 257,637 (166)
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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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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Real hypersurfaces in quaternionic projective space [PDF]
Annali di Matematica Pura ed Applicata, 1986 This paper is devoted to make a systematic study of real hypersurfaces of quaternionic projective space using focal set theory. We obtain three types of such real hypersurfaces. Two of them are known. Third type is new and in its study the first example of proper quaternion CR-submanifold appears.
Antonio Martínez, J. Pérez
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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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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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A remark on the genus of the infinite quaternionic projective space
, 2001 8 ...
Donald Yau
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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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Willmore spheres in quaternionic projective space
, 2002 23 pages, v2: improved presentation, qualified references ...
Katrin Leschke
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Symmetries of quaternionic Kähler manifolds with S1‐symmetry
Transactions of the London Mathematical Society, 2021 We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra g of infinitesimal automorphisms of the initial hyper‐Kähler data, we associate a central extension of g, acting by infinitesimal ...
V. Cortés, A. Saha, D. Thung
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Higher derivative couplings of hypermultiplets
Journal of High Energy Physics, 2023 We construct the four-derivative supersymmetric extension of (1, 0), 6D supergravity coupled to Yang-Mills and hypermultiplets. The hypermultiplet scalars are taken to parametrize the quaternionic projective space Hp(n) = Sp(n, 1)/Sp(n) × Sp(1) R .
Hao-Yuan Chang +2 more
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