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Mar 1, 2013 at 2:41 comment added YangMills Since you raised this question, can you please tell us why it must be a manifold?
Feb 26, 2013 at 3:17 comment added jiangsaiyin It must be a manifold,please help me to close the question if you see it.
Feb 25, 2013 at 9:28 comment added jiangsaiyin Sorry,I should write$M = R \times {}_{\cosh \left( t \right)}N$
Feb 25, 2013 at 9:28 history edited jiangsaiyin CC BY-SA 3.0
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Feb 25, 2013 at 8:26 comment added Thomas Richard I don't understand what can go wrong, the metric you write is just a smooth warped product metric on $N\times\mathbb{R}$. Is the warping factor really $\cosh^2(t)$ ?
Feb 25, 2013 at 7:49 history edited jiangsaiyin CC BY-SA 3.0
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Feb 25, 2013 at 7:17 history asked jiangsaiyin CC BY-SA 3.0