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    STUDIA MATHEMATICA - Issue no. 4 / 2013  
         
  Article:   SYMPLECTIC CONNECTIONS ON SUPERMANIFOLDS: EXISTENCE AND NON-UNIQUENESS.

Authors:  PAUL A. BLAGA.
 
       
         
  Abstract:   We show, in this note, that on any symplectic supermanifold, even or odd, there exist an infinite dimensional affine space of symmetric connections, compatible to the symplectic form.

Mathematics Subject Classification (2010): 58A50, 53D05.
Keywords: Symplectic supermanifolds, symplectic connections.
 
         
     
         
         
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