- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
I realized that I had posted solutions last night to the POTWs, but forgot to create the new ones last night...I guess that not sleeping well the night before travelling all day can make you do these kinds of things. Anyways, here's this week's problem.
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Problem: Consider the upper half plane with its standard hyperbolic metric $\frac{1}{y^2}(dx^2+dy^2)$. For $k$ a fixed real number, compute the Laplacian of the function $y^k$ relative to this metric.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Consider the upper half plane with its standard hyperbolic metric $\frac{1}{y^2}(dx^2+dy^2)$. For $k$ a fixed real number, compute the Laplacian of the function $y^k$ relative to this metric.
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Remember to read the POTW submission guidelines to find out how to submit your answers!