| 21. | The rigidifying data is moreover chosen so that it corresponds to a principal bundle with an algebraic structure group " G ".
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| 22. | The existence of a volume form implies a reduction of the structure group of the tangent bundle or the frame bundle to.
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| 23. | The leaner " MUP " team is made up of a more structured group of hosts who are specialized in their fields.
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| 24. | An equivalent definition of a principal-bundle is as a-bundle with fiber where the structure group acts on the fiber by left multiplication.
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| 25. | In the late 1990s, Sutton was a member of the New Zealand Energy Market rules committee and the market rules structure groups.
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| 26. | Equivalently, a connection is flat if the structure group can be reduced to the same underlying group but with the discrete topology.
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| 27. | Conversely, " M " is orientable if and only if the structure group of the tangent bundle can be reduced in this way.
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| 28. | A structured group duly constituted as an entity under law may still not protect members from being personally liable for each other's actions.
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| 29. | And a structures group has been inspecting wreckage as it is recovered from the ocean and brought to a pier at Port Hueneme.
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| 30. | One can also phrase this differently, as a question of reduction of the structure group of the tangent bundle from to a reducible subgroup.
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