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Complete minimal hypersurfaces in quaternionic hyperbolic space

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We construct new examples of embedded, complete minimal hypersurfaces in quaternionic hyperbolic space and also some minimal foliations. We introduce fans and construct analytic deformations of bisectors.

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Acknowledgments

The author would like to thank Prof. Claudio Gorodski for useful discussions and several valuable comments.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de São Carlos, São Carlos, SP, 13565-905, Brazil

    Jaime Leonardo Orjuela Chamorro

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  1. Jaime Leonardo Orjuela Chamorro
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Correspondence to Jaime Leonardo Orjuela Chamorro.

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The author was partially supported by FAPESP grant 2007/08513-6 and by CAPES PNPD grant 02885/09-3.

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Orjuela Chamorro, J.L. Complete minimal hypersurfaces in quaternionic hyperbolic space. Geom Dedicata 172, 47–67 (2014). https://doi.org/10.1007/s10711-013-9907-5

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