Biharmonic hypersurfaces in hemispheres
نویسندگان
چکیده
In this paper we consider the Balmuş-Montaldo-Oniciuc's conjecture in case of hemispheres. We prove that a compact non-minimal biharmonic hypersurface hemisphere Sn+1 must be small hypersphere Sn(1/2), provided n2−H2 does not change sign.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2022.126068