Connected Lie and Symmetry Subgroups of the Rigid Motions: Foundations and Classification

Both in kinematics and in the geometric specification of parts the classification of a surface by the group of rigid motions that preserve the surface plays an important role. In each case the classification scheme is derived from a more fundamental classification of connected Lie subgroups of the rigid motions. This report provides careful statements and rigorous proofs of the underlying Lie-theoretic results, which lead to the classification schemes, and a cursory exposition of the requisite mathematical background.

By: Michael A. O'Connor, Vijay Srinivasan and Alan Jones (Boeing Information and Support Services)

Published in: RC20512 in 1996


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