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    STUDIA MATHEMATICA - Issue no. 3 / 2015  
         
  Article:   HELICOIDAL SURFACES WITH ΔJr = Ar IN 3-DIMENSIONAL EUCLIDEAN SPACE.

Authors:  .
 
       
         
  Abstract:  In this paper we study the helicoidal surfaces in the 3-dimensional Euclidean space under the condition is a constant 3 × 3 matrix and ∆J denotes the Laplace operator with respect to the fundamental forms I, II and III.

Mathematics Subject Classification (2010): 53A05, 53A07, 53C40.

Keywords: Surfaces of coordinate finite type, helicoidal surfaces, Laplace operator.
 
         
     
         
         
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