Anti-de Sitter spacetimes and isoparametric hypersurfaces in complex hyperbolic spaces

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URI: https://hdl.handle.net/10347/39322
ISBN: 978-3-319-66289-3
DOI: 10.1007/978-3-319-66290-9_6

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2017-03-04

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By lifting hypersurfaces in complex hyperbolic spaces to anti-De Sitter spacetimes, we prove that an isoparametric hypersurface in the complex hyperbolic space has the same principal curvatures as a homogeneous one.

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Díaz-Ramos, J.C., Domínguez-Vázquez, M., Sanmartín-López, V. (2017). Anti-De Sitter Spacetimes and Isoparametric Hypersurfaces in Complex Hyperbolic Spaces. In: Cañadas-Pinedo, M., Flores, J., Palomo, F. (eds) Lorentzian Geometry and Related Topics. GELOMA 2016. Springer Proceedings in Mathematics & Statistics, vol 211. Springer, Cham. https://doi.org/10.1007/978-3-319-66290-9_6

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