Conformally natural extension of vector fields from 𝑆ⁿ⁻¹ to 𝐵ⁿ

Earle, Clifford J.

doi:10.1090/S0002-9939-1988-0915733-2

Conformally natural extension of vector fields from $S^{n-1}$ to $B^n$
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by Clifford J. Earle PDF

Proc. Amer. Math. Soc. 102 (1988), 145-149 Request permission

Abstract:

Up to multiplication by a constant there is exactly one conformally natural continuous linear map from the space of continuous vector fields on ${S^{n - 1}}$ to the space of continuous vector fields on ${B^n}$.

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The geometry and topology of three-manifolds