Projective Connection
978-613-1-24549-7
6131245495
140
2013-07-10
45,00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In differential geometry, a projective connection is a type of Cartan connection on a differentiable manifold. The structure of a projective connection is modeled on the geometry of projective space, rather than the affine space corresponding to an affine connection. Much like affine connections, though, projective connections also define geodesics. However, these geodesics are not affinely parametrized. Rather they are projectively parametrized, meaning that their preferred class of parameterizations is acted upon by the group of fractional linear transformations. Like an affine connection, projective connections have associated torsion and curvature.
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