JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 89-96.doi: 10.6040/j.issn.1671-9352.0.2017.021
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WEN Hai-yan, LIU Jian-cheng
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| [1] GODDARD A J. Some remarks on the existence of space-like hypersurfaces of constant mean curvature[J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1977, 82(3):489-495. [2] AKUTAGAWA K. On space-like hypersurfaces with constant mean curvature in the de Sitter space[J]. Mathematische Zeitschrift, 1987, 196(1):13-19. [3] MONTIEL S. An integral inequality for compact space-like hypersurfaces in de Sitter space and applications to the case of constant mean curvature[J]. Indiana University Mathematics Journal, 1988, 37(4):909-917. [4] SHU Shichang, LIU Sanyang. Complete space-like hypersurfaces with constant scalar curvature in de Sitter spaces[J]. Balkan Journal of Geometry and its Appliations, 2004, 9(2):82-91. [5] CAMINHA A. A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds[J]. Differential Geometry and its Applications, 2006, 24(6):652-659. [6] SHU Shichang, CAO Juanjuan. Curvature and rigidity of complete space-like submanifolds in a de Sitter space[J]. International Mathematical Forum, 2010, 5(4):175-184. [7] LIU Ximin. Space-like submanifolds in the de Sitter spaces[J]. Journal of Geometry and Physics, 2002, 40(3):370-378. [8] CHENG Qingming, ISHIKAWA S. Complete maximal spacelike submanifolds[J]. Kodai Mathematical Journal, 1997, 20(3):208-217. [9] ZHANG Shicheng. Rigidity theorem for complete spacelike submanifold in Sn+pq(1)with constant scalar curvature[J]. Bulletin of the Belgian Mathematical Society. Simon Stevin, 2012, 19(4):733-746. [10] ZHANG Shicheng. Rigidity theorems for complete spacelike submanifold in Sn+pq(1)[J]. Geometriae Dedicata, 2014, 169(1):175-186. [11] MARIANO M. On complete spacelike submanifolds with second fundamental form locally timelike in a semi-Riemannian space form[J]. Journal of Geometry and Physics, 2010, 60(5):720-728. [12] 周俊东, 宋卫东, 徐传友. 关于de Sitter空间中类空子流形的一些刚性定理[J]. 纯粹数学与应用数学, 2012, 28(1):73-79. ZHOU Jundong, SONG Weidong, XU Chuanyou. Rigity theorems on space-like submanifolds in de Sitter spaces[J]. Pure and Applied Mathematics, 2012, 28(1):73-79. [13] SANTOS W. Submanifolds with parallel mean curvature vector in spheres[J]. Tohoku Mathematical Journal, 1994, 46(3):403-415. [14] CHENG Shiuyuen, YAU Shingtung. Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces[J]. Annals of Mathematics, 1976, 104(3):407-419. [15] CAMARGO F E C, CHAVES R M B, DE SOUSA JR L A M. New characterizations of complete spacelike submanifolds in semi-Riemannian space forms[J]. Kodai Mathematical Journal, 2009, 32(2):209-230. |
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