Some Surfaces with Zero Curvature in ℍ2×ℝ
We study surfaces defined as graph of the function z=f(x,y) in the product space ℍ2×ℝ. In particular, we completely classify flat or minimal surfaces given by f(x,y)=u(x)+v(y), where u(x) and v(y) are smooth functions.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/154294 |