Results 11 to 20 of about 5,178 (157)
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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On certain real hypersurfaces of quaternionic projective space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 We classify certain real hypersurfaces ot a quaternionic projective space satisfying the condition σ(R(X,Y)SZ)=0.
Juan De Dios Perez, Florentino G. Santos
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QR-Submanifolds of (p−1) QR-Dimension in a Quaternionic Projective Space QP(n+p)/4 under Some Curvature Conditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 The purpose of this paper is to study n-dimensional QR-submanifolds of (p−1)QR-dimension in a quaternionic projective space QP(n+p)/4 and especially to determine such submanifolds under some curvature conditions.
Hyang Sook Kim, Jin Suk Pak
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A NOTE ON THE QUATERNIONIC QUASI-PROJECTIVE SPACE
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1984 According to \textit{I. M. James} [The topology of Stiefel manifolds, Lond. Math. Soc. Lect. Note Ser. 24 (1976; Zbl 0337.55017)], the quaternionic quasi-projective space \({\mathbb{H}}{\mathbb{Q}}_ n\) is defined in two ways. In this paper the authors show that the two definitions are equivalent and that the map \(t_ n: {\mathbb{H}}{\mathbb{Q}}_ n\to ...
Juno Mukai, Shichirô Oka
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Totally real flat minimal surfaces in quaternionic projective spaces [PDF]
Proceedings of the American Mathematical Society, 2020 In this paper, we study totally real minimal surfaces in the quaternionic projective space H P n \mathbb {H}P^n . We prove that the linearly full totally real flat minimal surfaces of isotropy order n n in H P
Ling He, Xianchao Zhou
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Torus Action on Quaternionic Projective Plane and Related Spaces [PDF]
Arnold Mathematical Journal, 2020 22 pages, 6 ...
Anton Ayzenberg
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Polar foliations on quaternionic projective spaces [PDF]
Tohoku Mathematical Journal, 2018 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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Maps to spaces in the genus of infinite quaternionic projective space [PDF]
, 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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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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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 ∞ : Z ) = Z {H_{4k}}({\operatorname {QP} ^\infty }:Z) = Z of stable homotopy under the Hurewicz homomorphism be
David M. Segal
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