Results 41 to 50 of about 257,637 (166)

Polar foliations on quaternionic projective spaces [PDF]

open access: greenTohoku 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
openalex   +7 more sources

Real hypersurfaces in quaternionic projective space [PDF]

open access: yesAnnali 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
semanticscholar   +2 more sources

Minimal immersion of surfaces in quaternionic projective spaces [PDF]

open access: bronzeTsukuba 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
openalex   +4 more sources

Ambient surgery and tangential homotopy quaternionic projective spaces. [PDF]

open access: bronzeTransactions 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
openalex   +3 more sources

A characterization of geodesic hyperspheres of quaternionic projective space [PDF]

open access: bronzeTsukuba Journal of Mathematics, 1997
We study a condition that allows us to characterize geodesichyperspheresamong allrealhypersurfacesofquaternionic projectivespace.
Juan de Dios Pérez
openalex   +4 more sources

Willmore spheres in quaternionic projective space

open access: green, 2002
23 pages, v2: improved presentation, qualified references ...
Katrin Leschke
openalex   +4 more sources

Symmetries of quaternionic Kähler manifolds with S1‐symmetry

open access: yesTransactions 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
doaj   +1 more source

Higher derivative couplings of hypermultiplets

open access: yesJournal 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
doaj   +1 more source

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