Nonlinear connections for conformal gauge theories on path-spaces and duality

• Autores: Mircea Crasmareanu
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 81, Fasc. 1-2, 2012, págs. 167-178
• Idioma: inglés
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• Resumen

  • Weyl structures and compatible nonlinear connections are introduced in the ge- ometry of semisprays as a natural generalization of similar notions from Riemannian geometry. The existence and formula for the set of all compatible nonlinear connec- tions are derived by using the Obata tensors naturally associated to a xed metric in the given conformal class; this formula is also expressed in terms of dual non- linear connections which generalize the Norden's notion of dual linear connections.

    A geometric meaning for pairs (Weyl structure, compatible nonlinear connection) is provided in terms of gauge conformal invariance.