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 |