Foliated Cobordism and Motion

Details Foliated Cobordism and Motion Foliated Cobordism and Motion

2002-09-24

arxiv.org/abs/gr-qc/0209091v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

43 pages, 5 figures

Scientific paper

The mathematical notion of foliated cobordism is presented, and its relationship to both the motion of extended particles and wave motion is detailed. The fact that wave motion, when represented in such a manner on a four-dimensional spacetime, leads to a reduction of the bundle of linear frames to an SO(2)-principle bundle is demonstrated. Invariants of foliated cobordism are discussed as they relate to the aforementioned cases of motion.

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