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We prove that the normalized second fundamental form A of immersed hypersurface in a space form is intrinsic provided cubic or higher odd elementary combination of the the second fundamental form is not zero. We also establish the intrinsicality of the normalized second fundamental form A of a compact domain in space form in four dimensions and higher.more » « less
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Xu, Bin; Falk, Michael L.; Patinet, Sylvain; Guan, Pengfei (, Physical Review Materials)null (Ed.)
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