It had been proved that the curvature tensor is a curl(grad),not zero except in Eucldean space,and so discovered the essence of Bianchi identity:div(rot(grad))=0,the curvature,forming tube field,is invariant along the tube,i.

 
  • 证实 :曲率它正是非欧氏空间不为零的梯度的旋度 .;并发现 :Bianchi等式实质是div(rot(grad) ) =0;曲率形成管形场;沿管不变
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