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Totally real sectional curvature of a real hypersurface in a quaternionic space form

open access: yesTotally real sectional curvature of a real hypersurface in a quaternionic space form
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Real hypersurfaces in quaternionic space forms.

Journal Fur Die Reine Und Angewandte Mathematik, 1991
Jürgen Berndt
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Hypersurfaces in Quaternionic Space Forms

Springer Monographs in Mathematics, 2015
In 1986, Martinez and Perez [470] began the study of real hypersurfaces in quaternionic space forms, and in 1991, Berndt [31] found a list of standard examples of real hypersurfaces in quaternionic space forms with constant principal curvatures, leading to further research in this area.
Thomas Edward Cecil
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Cellular decomposition of quaternionic spherical space forms

Geometriae Dedicata, 2012
We obtain an explicit cellular decomposition of the quaternionic spherical space forms, manifolds of positive constant curvature that are factors of an odd sphere by a free orthogonal action of a generalized quaternionic group. The cellular structure gives and explicit description of the associated cellular chain complex of modules over the integral ...
Thiago de Melo, M Spreafico
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Indefinite quaternion space forms

Annali di Matematica Pura ed Applicata, 1982
We define indefinite quaternion Kaehlerian manifolds proving that they are Einstein if its real dimension is ≧ 8and study some conditions for the constancy of the quaternionic sectional curvature and a special behaviour of it.
Perez, J. D., Santos, F. G.
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Ruled Real Hypersurfaces in a Nonflat Quaternionic Space Form

Monatshefte Fur Mathematik, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toshiaki Adachi, Sadahiro Maeda
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