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   Some geometrical properties of Berger spheres  
   
نویسنده aryanejad y.
منبع caspian journal of mathematical sciences - 2021 - دوره : 10 - شماره : 2 - صفحه:183 -194
چکیده    Our aim in this paper is to investigate some geometrical properties of berger spheres i.e., homogeneous ricci solitons and harmonicity properties of invariant vector fields. we determine all vector fields, which are critical points for the energy functional restricted to vector fields of the same length. we also see that do not exist any vector fields defining harmonic map, and the energy of critical points is explicitly calculated.
کلیدواژه Berger spheres ,Ricci solitons ,Harmonic vector fields ,Harmonic maps
آدرس payame noor university, department of mathematics, Iran
پست الکترونیکی y.aryanejad@pnu.ac.ir
 
     
   
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