张量代数导子的特殊基。III。沿自交点可分离的光滑映射的情形
Special bases for derivations of tensor algebras. III. Case along smooth maps with separable points of selfintersection
摘要:
研究了在微分流形的充分一般子集上,张量代数的导子的分支为零的基的存在性、唯一性和完整性的充分条件.从这一观点出发,考虑了线性联系和等效原理.
英文摘要:
Necessary and/or sufficient conditions are studied for the existence, uniqueness and holonomicity of bases in which on sufficiently general subsets of a differentiable manifold the components of derivations of the tensor algebra over it vanish. The linear connections and the equivalence principle are considered form that point of view.
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