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- W2964051345 abstract "Abstract It is shown that any compact quaternionic contact (qc) hypersurfaces in a hyper-Kähler manifold which is not totally umbilical has an induced qc structure, locally qc homothetic to the standard 3-Sasakian sphere. In the non-compact case, it is proved that a seven-dimensional everywhere non-umbilical qc-hypersurface embedded in a hyper-Kähler manifold is qc-conformal to a qc-Einstein structure which is locally qc-equivalent to the 3-Sasakian sphere, the quaternionic Heisenberg group or the hyperboloid." @default.
- W2964051345 created "2019-07-30" @default.
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- W2964051345 date "2017-11-23" @default.
- W2964051345 modified "2023-09-24" @default.
- W2964051345 title "Non-Umbilical Quaternionic Contact Hypersurfaces in Hyper-Kähler Manifolds" @default.
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- W2964051345 doi "https://doi.org/10.1093/imrn/rnx279" @default.
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