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Journal of Differential Geometry
Article
License: implied-oa
Data sources: UnpayWall
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Project Euclid
Other literature type . 1989
Data sources: Project Euclid
Journal of Differential Geometry
Article . 1989 . Peer-reviewed
Data sources: Crossref
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Corrections to: ``Sub-Riemannian geometry''

Authors: Strichartz, Robert S.;

Corrections to: ``Sub-Riemannian geometry''

Abstract

An error in the proof of Corollary 6.2 of [1] has been pointed out by Gerard Ben-Arous. The computation of M(x,λ) in the case λo = 0 on p. 243 is incorrect, because M(x,λ) = 0 when λ0 = 0 and λjg (x) = 0 for all k. (There is also a factor of \ missing in the formula as stated for λ0 φ 0, but this is not significant.) Thus when applying the Pontryagin Theorem (Theorem 6.1) it is necessary to consider one additional case: λo = 0 and M(x9λ) = 0 along the curve. The conditions of the theorem in this case lead to the equations

Keywords

53A40, 53C21, 53C20, 58G30, 53C22

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
92
Top 10%
Top 1%
Average
Green
hybrid