Torus action on quaternionic projective plane and related spaces [PDF]
Arnold Mathematical Journal, 2019 For an action of a compact torus $T$ on a smooth compact manifold~$X$ with isolated fixed points the number $\frac{1}{2}\dim X-\dim T$ is called the complexity of the action.
Ayzenberg, Anton
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Minimal immersion of surfaces in quaternionic projective spaces [PDF]
Tsukuba 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
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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 ...
H. Kim, J. 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].
G. Mislin
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A characterization of geodesic hyperspheres of quaternionic projective space [PDF]
Tsukuba Journal of Mathematics, 1997 We study a condition that allows us to characterize geodesichyperspheresamong allrealhypersurfacesofquaternionic projectivespace.
Juan de Dios Pérez
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A remark on the genus of the infinite quaternionic projective space
, 2001 8 ...
Donald Yau
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The maximal codegree of the quaternionic projective spaces [PDF]
Hiroshima Mathematical Journal, 1990 Mitsunori Imaoka
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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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On the same $N$-type of the suspension of the infinite quaternionic projective space [PDF]
, 2010 Dae-Woong Lee
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Minimal Δ(2)-Ideal Lagrangian Submanifolds and the Quaternionic Projective Space
Social Science Research Network, 2023 Kristof Dekimpe +2 more
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