Erratum to: “Modified systems found by symmetry reduction on the cotangent bundle of a loop group” [J. Geom. Phys. 16 (1995) 305–326]

✍ Scribed by Ian Marshall

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 164 KB
• Volume: 20
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/0393-0440(95)00054-2

✦ Synopsis

Having established that cp 0 (JL + JR, JL, k, -ka, k((@, 4) -(O,@))) = $0 JR

(1) it was claimed that cp is necessarily the composition f o m for some f E C"( VZR*). Note that this would have been correct had JL and JR been independent on T*&;k. However they are not independent and their failure to be independent can be expressed by saying that there exist (nontrivial) functions of JL which can be written as functions of JR, i.e.