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arxiv: 1011.6582 · v4 · pith:4JAA6NAOnew · submitted 2010-11-30 · 🧮 math.DG

Real hypersurfaces in complex and quaternionic hyperbolic spaces

classification 🧮 math.DG
keywords hyperboliccomplexhypersurfacesspacecurvature-adaptedquaternionicanalogousclassified
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We introduce curvature-adapted foliations of complex hyperbolic space and study some of their properties. Generalized pseudo-Einstein hypersurfaces of complex hyperbolic space are classified. Analogous results for curvature-adapted hypersurfaces of quaternionic hyperbolic space are also obtained.

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