Infinitesimal affine transformations of the space $(T^0_2(M_n),\nabla^H)$ over a maximally movable space $(M_n,\nabla)$ which is not projectively flat.
    
    
  
  
  
      
      
      
        
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 132-137
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice du chapitre de livre provenant de la source Math-Net.Ru
            
              We consider the bundle $T^2_0M$ of tensors of type $(2,0)$ over a maximally movable affinely connected space $(M,\nabla)$. On the total space of this bundle we take the horizontal lift $\nabla^C$ of the connection $\nabla$ and construct decomposition for infinitesimal affine transformations of $\nabla^C$. Also we find the dimension of the Lie algebra of infinitesimal transformations of this space.
            
            
            
          
        
      @article{UZKU_2005_147_1_a11,
     author = {O. A. Monakhova},
     title = {Infinitesimal affine transformations of the space $(T^0_2(M_n),\nabla^H)$ over a~maximally movable space $(M_n,\nabla)$ which is not projectively flat.},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {132--137},
     publisher = {mathdoc},
     volume = {147},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a11/}
}
                      
                      
                    TY - JOUR AU - O. A. Monakhova TI - Infinitesimal affine transformations of the space $(T^0_2(M_n),\nabla^H)$ over a maximally movable space $(M_n,\nabla)$ which is not projectively flat. JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2005 SP - 132 EP - 137 VL - 147 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a11/ LA - ru ID - UZKU_2005_147_1_a11 ER -
%0 Journal Article %A O. A. Monakhova %T Infinitesimal affine transformations of the space $(T^0_2(M_n),\nabla^H)$ over a maximally movable space $(M_n,\nabla)$ which is not projectively flat. %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2005 %P 132-137 %V 147 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a11/ %G ru %F UZKU_2005_147_1_a11
O. A. Monakhova. Infinitesimal affine transformations of the space $(T^0_2(M_n),\nabla^H)$ over a maximally movable space $(M_n,\nabla)$ which is not projectively flat.. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 132-137. http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a11/
