Real hypersurfaces with isometric Reeb flow in complex quadrics
By J. Berndt, Young Jin Suh. 2013
82 citations recorded by the source corpus.
We classify real hypersurfaces with isometric Reeb flow in the complex quadrics Q^m for m > 2. We show that m is even, say m = 2k, and any such hypersurface is an open part of a tube around a k-dimensional complex projective space CP^k which is embedded canonically in Q^{2k} as a totally geodesic complex submanifold. As a consequence we get the non-existence of real hypersurfaces with isometric Reeb flow in odd-dimensional complex quadrics.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9098ceeb7ace74debeb741819a80d83ee8007dba
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Real hypersurfaces in the complex quadric with Reeb parallel shape operator (2014, background): “But, surprisingly, in [3] Berndt and Suh have proved the following result: Theorem 3.”