Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 4 / 37D / b / i

Table of contents
- Solution i

Solution

The map takes one covector argument and returns two vector slots, so

S

has two contravariant and one covariant index. Its tensor type is

(1 2),

or type

(2, 1)

, with components

S^{ab}_{c}

.

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