Biharmonic properly immersed submanifolds in Euclidean spaces
نویسندگان
چکیده
منابع مشابه
Polyharmonic submanifolds in Euclidean spaces
B.Y. Chen introduced biharmonic submanifolds in Euclidean spaces and raised the conjecture ”Any biharmonic submanifold is minimal”. In this article, we show some affirmative partial answers of generalized Chen’s conjecture. Especially, we show that the triharmonic hypersurfaces with constant mean curvature are minimal. M.S.C. 2010: 58E20, 53C43.
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2012
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-012-9778-1