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    STUDIA MATHEMATICA - Issue no. 3 / 2005  
         
  Article:   EINSTEIN EQUATIONS IN THE GEOMETRY OF SECOND ORDER.

Authors:  N. VOICU, GH. ATANASIU. 		 
       
         
  Abstract:  In [7], R. Miron and Gh. Atanasiu wrote the Einstein equationsof a metric structure G on the tangent bundle of order two, T2M(previously named ”2-osculator bundle” and denoted by Osc2M), endowedwith a nonlinear connection N and a linear connection D such that the2-tangent structure J be absolutely parallel to D.In the present paper, the authors determine the Einstein equationsby making use of the concept of N-linear connection defined by Gh.Atanasiu, [ 1], this is, a linear connection which is not neccesarily compatiblewith J, but only preserves the distributions generated by the nonlinearconnection N.  
         
     
         
         
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