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Real Hypersurfaces of Quaternionic Projective Space Satisfying â–½UiR = 0

open access: yesDifferential Geometry and Its Applications, 1997
It is known that there do not exist real hypersurfaces with parallel curvature tensor in quaternionic projective spaces. In this paper we classify real hypersurfaces of quaternionic projective space whose curvature tensor is parallel in the direction of ...
Juan de Dios Perez, Young Jin Suh
exaly   +2 more sources

Polar Foliations on Quaternionic Projective Spaces [PDF]

open access: yesTohoku 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 $n=1$).
Claudio Gorodski   +1 more
exaly   +5 more sources

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