Geodesics of Sub-Finslerian Geometry

Razi, Solmaz and Latifi, Dariush and Motallebi, Mohammad Reza (2011) Geodesics of Sub-Finslerian Geometry. Other thesis, University of Mohaghegh Ardabili.

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Abstract

In the thesis, the geodesics of the Grushin plane and Heisenberg group are obtained in the new context of sub-Finslerian geometry equipped with a special Randers metric. We have used the Pontryagin Maximum Principle for the Grushin plane and a new technique that is making use of Lie algebroids was applied for the Heisenberg group.

Item Type: Thesis (Other)
Persian Title: ژئودزيک¬هاي هندسه زيرفينسلري
Persian Abstract: در اين پايان¬نامه، ژئودزيک¬هاي صفحه گراشين و گروه هايزنبرگ در مفهوم جديد هندسه زيرفينسلري با متريک راندرس خاص به دست آورده مي¬شود: از اصل ماکزيمم پنترياگين براي صفحه گراشين و از يک تکنيک جديد که از ساختار جبروار لي استفاده مي¬کند، براي گروه هايزنبرگ استفاده نموده¬ايم.
Supervisor:
SupervisorE-mail
Latifi, DariushUNSPECIFIED
Advisor:
AdvisorE-mail
Motallebi, Mohammad RezaUNSPECIFIED
Subjects: Faculty of Basic Sciences > Department of Mathematics
Divisions > Faculty of Basic Sciences > Department of Mathematics
Divisions: Subjects > Faculty of Basic Sciences > Department of Mathematics
Faculty of Basic Sciences > Department of Mathematics
Date Deposited: 13 Jul 2019 06:48
Last Modified: 13 Jul 2019 06:48
URI: http://repository.uma.ac.ir/id/eprint/7758

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