Coordinate finite type invariant surfaces in Sol spaces

Document Type: Research Paper

Author

Department of‎ ‎Mathematics Education and RINS‎, ‎Gyeongsang National University‎, ‎Jinju‎, ‎660-701‎, ‎South Korea.

Abstract

In the present paper, we study surfaces invariant under the 1-parameter subgroup in Sol space $\rm Sol_3$. Also, we 
characterize the surfaces in $\rm Sol_3$ whose coordinate functions of an immersion of the surface are eigenfunctions of the Laplacian $\Delta$ of the surface.

Keywords

Main Subjects


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Volume 43, Issue 3
May and June 2017
Pages 649-658
  • Receive Date: 01 September 2015
  • Revise Date: 20 February 2017
  • Accept Date: 05 January 2016