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Real hypersurfaces of complex and quaternionic hyperbolic spaces
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Thomas Murphy
Published/Copyright:
January 17, 2014
Abstract
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 foliations of quaternionic hyperbolic space are also discussed.
Keywords: Curvature-adapted foliations; quaternionic and complex hyperbolic spaces; pseudo-Einstein hypersurfaces
Published Online: 2014-01-17
Published in Print: 2014-01
© 2014 by Walter de Gruyter GmbH & Co.
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Keywords for this article
Curvature-adapted foliations;
quaternionic and complex hyperbolic spaces;
pseudo-Einstein hypersurfaces
Articles in the same Issue
- Masthead
- Real hypersurfaces of complex and quaternionic hyperbolic spaces
- Toric geometry of the 3-Kimura model for any tree
- Invariant surfaces in Sol3 with constant mean curvature and their computer graphics
- A short geometric proof that Hausdorff limits are definable in any o-minimal structure
- Seshadri constants on smooth threefolds
- Visible shoreline results for staircase paths in ℝd
- Characterization of isometric embeddings of Grassmann graphs
- Typical simplicially convex bodies
- On successive radii of p-sums of convex bodies
- Resolving sets for four families of distance-regular graphs
- White-black graphs and right-angled hyperbolic handlebodies
- Scalar and Ricci curvatures of special contact slant submanifolds in Sasakian space forms
- Non-factorial quartic double solids
- Collineation groups of topological parallelisms
