Projective Connection

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High Quality Content by WIKIPEDIA articles! 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.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131245497
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131245497
    • Format Fachbuch
    • Titel Projective Connection
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 140
    • Genre Mathematik

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