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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,053 - 1,068 (16page)
- DOI
- 10.4134/BKMS.b190289
이용수
초록· 키워드
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We investigate the spacelike hypersurface $M^n$ with constant mean curvature (CMC) in a Lorentz Einstein manifold $L^{n+1}_1$, which is supposed to obey some appropriate curvature constraints. Applying a suitable Simons type formula jointly with the well known generalized maximum principle of Omori-Yau, we obtain some rigidity classification theorems and pinching theorems of hypersurfaces.
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참고문헌 (26)
참고문헌 신청
N. Abe / 1987 / Congruence theorems for proper semi-Riemannian hypersurfaces in a real space form / Yokohama Math. J 35(1-2):123~136
Kazuo Akutagawa / 1987 / On spacelike hypersurfaces with constant mean curvature in the de Sitter space / Mathematische Zeitschrift 196(1):13~19
Luis J. Alías / 1997 / Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems / Tohoku Mathematical Journal 49(3):337~345
Jin Ok Baek / 2004 / Complete space-like hypersurfaces in locally symmetric Lorentz spaces / Journal of Geometry and Physics 49(2):231~247
A. Brasil, Jr / 2001 / A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space / Journal of Geometry and Physics 37(3):237~250
Kazuo Akutagawa / 1987 / On spacelike hypersurfaces with constant mean curvature in the de Sitter space / Mathematische Zeitschrift 196(1):13~19
Luis J. Alías / 1997 / Spacelike hypersurfaces of constant mean curvature and Calabi-Bernstein type problems / Tohoku Mathematical Journal 49(3):337~345
Jin Ok Baek / 2004 / Complete space-like hypersurfaces in locally symmetric Lorentz spaces / Journal of Geometry and Physics 49(2):231~247
A. Brasil, Jr / 2001 / A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space / Journal of Geometry and Physics 37(3):237~250
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