Basic Forms
2020 ◽
pp. 97-102
Keyword(s):
This chapter describes basic forms. On a principal bundle π: P → M, the differential forms on P that are pullbacks of forms ω on the base M are called basic forms. The chapter characterizes basic forms in terms of the Lie derivative and interior multiplication. It shows that basic forms on a principal bundle are invariant and horizontal. To understand basic forms better, the chapter considers a simple example. The plane ℝ2 may be viewed as the total space of a principal ℝ-bundle. A connected Lie group is generated by any neighborhood of the identity. This example shows the necessity of the connectedness hypothesis.
1998 ◽
Vol 10
(01)
◽
pp. 47-79
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Keyword(s):
1985 ◽
Vol 38
(1)
◽
pp. 55-64
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Keyword(s):
1991 ◽
Vol 06
(04)
◽
pp. 577-598
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Keyword(s):
2000 ◽
Vol 03
(03)
◽
pp. 337-362
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Keyword(s):
Keyword(s):