ON SOME MOMENT MAPS AND INDUCED HOPF BUNDLES IN THE QUATERNIONIC PROJECTIVE SPACE [PDF]
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]
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]
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]
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
semanticscholar +4 more sources
Cycle-parallel real hypersurfaces of quaternionic projective space [PDF]
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]
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]
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]
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]
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
The 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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