A Note on Infinitesimal Holonomy Groups
1957 ◽
Vol 12
◽
pp. 145-146
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Keyword(s):
In a recent paper [1], H. Ozeki has extended the author’s results [2] on local and infinitesimal holonomy groups for connections in linear fiber bundles (whose fiber is a vector space) to general fiber bundles whose structure group is a Lie group. Ozeki’s Lemma 7 (corresponding to the author’s Lemma 5.2) appears to be rather crucial in the development, while the proof is somewhat involved.—This note intends to present a more direct proof of the lemma, stating a case in which the local holonomy group H*(x)and the infinitesimal holonomy group H’(x)coincide:
1993 ◽
Vol 05
(01)
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pp. 69-103
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Keyword(s):
1956 ◽
Vol 10
◽
pp. 105-123
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Keyword(s):
2018 ◽
pp. 653-680
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Keyword(s):
Keyword(s):
1956 ◽
Vol 10
◽
pp. 97-100
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Keyword(s):
2006 ◽
Vol 93
(3)
◽
pp. 791-816
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Keyword(s):
1982 ◽
Vol 91
(1)
◽
pp. 99-106
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