Abstract
We study an (n+1)(n≥ 3)-dimensional contact CR-submanifold of (n−1) contact CR-dimension in a (2m+1)-unit sphere S2m+1, and especially determine such submanifolds under the equality conditions appearing in (3.12). We also provide a sufficient condition in order for such a compact submanifold to be the model space \(S^{2n_1+1}(1/\sqrt2) \times S^{2n_2+1}(1/\sqrt2)\) given in the last Section 4.
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Pak, J.S., Kwon, JH., Kim, H.S. et al. Contact CR-Submanifolds of an Odd-Dimensional Unit Sphere. Geom Dedicata 114, 1–11 (2005). https://doi.org/10.1007/s10711-004-8175-9
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DOI: https://doi.org/10.1007/s10711-004-8175-9