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REMARKS ON MANIFOLDS ADMITTING TOTALLY UMBILICAL HYPERSURFACES
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The main purpose of the present paper is to investigate biharmonic Legendre curves on hypersurfaces in four-dimensional complex space forms. We examine the necessary conditions for the existence of such curves on totally η-umbilical, ruled, and Hopf hypersurfaces for which the shape operator AN satisfies a symmetry property.
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Additional Proceedings to the 56th Annual Meeting of the Particle Therapy Cooperative Group (PTCOG), 8-13 May 2017. [PDF]
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Characterization of totally umbilic hypersurfaces in a space form by circles
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On Riemannian spaces admitting a family of totally umbilical hypersurfaces, I
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Parallel and totally umbilical hypersurfaces of the four-dimensional Thurston geometry Sol04
sponsorship: M. D'haene is supported by Methusalem grant METH/21/03-long-term structural funding of the Flemish Government. J. Inoguchi is partially supported by JSPS KAKENHI Grant Numbers 23K03081 and 19K03461. J. Van der Veken is supported by the Research Foundation-Flanders (FWO) and the National Natural Science Foundation of China (NSFC) under ...
D'haene, Marie +2 more
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主査:松添 ...
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