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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 643 - 649 (7page)
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Let M be a connected n-dimensional submanifold of a Eu- clidean space En+k equipped with the induced metric and ∆ its Lapla- cian. If the position vector x of M is decomposed as a sum of three vectors x = x1 + x2 + x0 where two vectors x1 and x2 are non-constant eigen- vectors of the Laplacian , i.e., ∆xi = λixi,i = 1,2 ( λi ∈ R) and x0 is a constant vector, then, M is called a 2-type submanifold. In this paper we proved that a connected 2-type hypersurface M in En+1 whose postion vector x satisfies ⟨∆x, x − x0⟩ = c for a constant c, where ⟨ , ⟩ is the usual inner product in En+1, is of null 2-type and has constant mean curvature and scalar curvature.
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