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arXiv · 1301.0411

Real hypersurfaces with isometric Reeb flow in complex quadrics

Jurgen Berndt·Young Jin Suh
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Abstract

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.

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Jurgen Berndt, Young Jin Suh. 2013-01-03. Real hypersurfaces with isometric Reeb flow in complex quadrics. https://arxiv.org/abs/1301.0411

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