Results 21 to 30 of about 738,602 (182)
A characterization of pseudo-Einstein real hypersurfaces in a quaternionic projective space [PDF]
, 1996 Let HPn be a quaternionic projective space, n = 3, with metric G of constant quaternionic sectional curvature 4, and let M be a connected real hypersurface of HPn.
Tatsuyoshi Hamada
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ON THE SYMMETRIC SQUARES OF COMPLEX AND QUATERNIONIC PROJECTIVE SPACE [PDF]
Glasgow Mathematical Journal, 2018 AbstractThe problem of computing the integral cohomology ring of the symmetric square of a topological space has long been of interest, but limited progress has been made on the general case until recently. We offer a solution for the complex and quaternionic projective spaces$\mathbb{K}$Pn, by utilising their rich geometrical structure.
Yumi Boote, Nigel Ray
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Spaces which look like quaternionic projective đ-space [PDF]
Transactions of the American Mathematical Society, 1982 The projective n n -spaces which correspond to the various multiplicative structures on the three sphere are studied. Necessary and sufficient conditions for a projective n n -space to extend to a projective n + 1 n+1 -space are described.
C. A. McGibbon
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Isospin particle systems on quaternionic projective spaces [PDF]
Physical Review D, 2013 8 pages, PACS numbers: 03.65-w, 02.30.Ik, 1 reference ...
Stefano Bellucci +3 more
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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 DomĂnguez-VĂĄzquez +1 more
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Inertia groups and smooth structures on quaternionic projective spaces [PDF]
Forum Mathematicum, 2022 Abstract This paper deals with certain results on the number of smooth structures on quaternionic projective spaces, obtained through the computation of inertia groups and their analogues, which in turn are computed using techniques from stable homotopy theory.
Samik Basu, Ramesh Kasilingam
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Cycle-parallel real hypersurfaces of quaternionic projective space [PDF]
, 1993 We classify cyclic-parallel real hypersurfaces of quaternionic projective ...
J. PĂ©rez
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On the stable homotopy of quaternionic and complex projective spaces. [PDF]
Proceedings of the American Mathematical Society, 1970 Let the image in H 4 k ( QP â : Z ) = Z {H_{4k}}({\operatorname {QP} ^\infty }:Z) = Z of stable homotopy under the Hurewicz homomorphism be
David M. Segal
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Maps to spaces in the genus of infinite quaternionic projective space [PDF]
Categorical decomposition techniques in algebraic topology (Isle
of Skye, 2001), 293-302, Progr. Math. 215, Birkhauser, Basel, 2004., 2002 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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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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