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SPHERE-FOLIATED MINIMAL AND CONSTANT MEAN CURVATURE HYPERSURFACES IN PRODUCT SPACES
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1초록
In this paper, we prove that minimal hypersurfaces when n >= 3 and nonzero constant mean curvature hypersurfaces when n >= 2 foliated by spheres in parallel horizontal hyperplanes in H(n) x R must be rotationally symmetric.
키워드
foliation; constant mean curvature; rotationally symmetric hypersurface; product space; H-2 X R; SURFACES; UNIQUENESS
- 제목
- SPHERE-FOLIATED MINIMAL AND CONSTANT MEAN CURVATURE HYPERSURFACES IN PRODUCT SPACES
- 저자
- Se, Keomkyo
- 발행일
- 2011-03
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 48
- 호
- 2
- 페이지
- 335 ~ 342
- 언어
- ENG
- 출판사
- KOREAN MATHEMATICAL SOC
- 발행국가
- 대한민국
- 분량
- 8 페이지
- ISSN
- E 2234-3016
P 1015-8634