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Venerdì 8 maggio ore 11 seminario Dott. Miguel Ángel Javaloyes Victoria "Zermelo navigation and flag curvature in pseudo-Finsler metric"

Miguel Angel Javaloyes Victoria


Venerdì 8 maggio 2015 alle ore 11, presso la Sala Riunioni del Dipartimento (III piano), il Dott. Miguel Ángel Javaloyes Victoria (Università di Murcia) terrà un seminario dal titolo:

Zermelo navigation and flag curvature in pseudo-Finsler metric


The Zermelo problem studies the trajectories which minimize the time in the presence of a wind or current, as  for example when we consider a  sailboat in the sea or a ship in a river. The solution is given by Finsler metrics whose indicatrix is the translation by the wind vector of the indicatrix of the background metric. When the wind is strong, the origin of coordinates can be away from the indicatrix and then it defines two conic  Finsler metrics. In particular, if the background metric is a Riemannian metric, with the translation we will obtain a Randers or a Kropina metric. We show that the flag curvature is preserved when the indicatrix is translated with a Killing field, using the dual  metric, which is a Hamiltonian function in the cotangent bundle. Moreover, these metrics also have applications to spacetimes endowed with a Killing field (not necessarily timelike). - Joint work with Henrique Vitório - 

Pubblicato Martedì, 28 Aprile, 2015 - 14:30 | ultima modifica Martedì, 28 Aprile, 2015 - 14:35