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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Conformally natural extension of vector fields from $ S^{n-1}$ to $ B^n$


Author: Clifford J. Earle
Journal: Proc. Amer. Math. Soc. 102 (1988), 145-149
MSC: Primary 30C60,; Secondary 57R25
MathSciNet review: 915733
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0915733-2
PII: S 0002-9939(1988)0915733-2
Article copyright: © Copyright 1988 American Mathematical Society