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Differential strings: Basic theory. (English) Zbl 0752.53012

Summary: The concept of differential strings is introduced and exemplified. Two different kinds of repeated covariant differentiation on the tangent bundle and the cotangent bundle of a differentiable manifold are discussed and characterized in local coordinates by means of derivative and differential strings. Finally, using such strings the concepts of repeated covariant differentiation is generalized.

MSC:

53B05 Linear and affine connections