RIGIDITY THEOREMS FOR HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN A UNIT SPHERE
2007 ◽
Vol 49
(2)
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pp. 235-241
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Keyword(s):
AbstractIn this paper, we give a characterization of Clifford tori $S^1(\sqrt{\textstyle\frac{nr+2-n}{nr}})\times S^{n-1}(\sqrt{\frac{n-2}{nr}})$ and $S^m(a)\times S^{n-m}(\sqrt{1-a^2}) (2 \le m \le n - 2, 0 \lt a^2 \lt 1)$ in a unit sphere Sn+1 (1). Our results extend the results due to Cheng and Yau [4], and Wang and Xia [11].
2006 ◽
Vol 49
(1)
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pp. 241-249
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2001 ◽
Vol 73
(3)
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pp. 327-332
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Keyword(s):
2004 ◽
Vol 35
(2)
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pp. 165-175
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Keyword(s):
2010 ◽
Vol 12
(06)
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pp. 997-1013
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2007 ◽
Vol 09
(02)
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pp. 183-200
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2002 ◽
Vol 132
(5)
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pp. 1163-1183
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2001 ◽
Vol 64
(3)
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pp. 755-768
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2008 ◽
Vol 26
(6)
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pp. 592-599
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2002 ◽
Vol 132
(5)
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pp. 1163-1183
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