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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Projective Group Representations in Quaternionic Hilbert Space [PDF]
Journal of Mathematical Physics, 1996 We extend the discussion of projective group representations in quaternionic Hilbert space which was given in our recent book. The associativity condition for quaternionic projective representations is formulated in terms of unitary operators and then ...
Emch G., Stephen L. Adler, Uhlhorn U.
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On the symmetric squares of complex and quaternionic projective space [PDF]
Glasgow Mathematical Journal, 2016 The 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.
Yumi Boote, Nigel Ray
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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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Cycle-parallel real hypersurfaces of quaternionic projective space [PDF]
, 1993 We classify cyclic-parallel real hypersurfaces of quaternionic projective ...
Perez Juan de Dios
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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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Minimal two-spheres with constant curvature in the quaternionic projective space [PDF]
Science China Mathematics, 2018 In this paper we completely classify the homogeneous two-spheres, especially, the minimal homogeneous ones in the quaternionic projective space ℍℙ n .
Jie Fei, Chiakuei Peng, Xiaowei Xu
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QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IN QUATERNIONIC PROJECTIVE SPACE [PDF]
, 2005 The purpose of this paper is to study n-dimensional QR-submanifolds of maximal QR-dimension isometrically immersed in a quaternionic projective space and to give su-cient conditions in order for such a submanifold to be a tube over a quaternionic ...
Hyang Sook Kim, J. S. Pak
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THE HOMOTOPY CLASSIFICATION OF SELF-MAPS OF INFINITE QUATERNIONIC PROJECTIVE SPACE [PDF]
, 1987 WE say that a self-map / : HP"-* HP" of infinite quaternionic projective space has degree k, deg (f) = k, if the induced map of QMP°° =* S is of degree k in the usual sense. It is well known that deg (/) is zero or an odd square integer [6].
Guido Mislin
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Rational homotopy type and nilpotency of mapping spaces between Quaternionic projective spaces
Proceedings of the International Geometry CenterThe rational homotopy type of a mapping space is a way to describe the structure of the space using the algebra of its homotopy groups and the differential graded algebra of its cochains.
Tilahun Abebaw +2 more
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