On the Equivalence Problem of Curves in a Riemannian Manifold

Hamdan, Hamdan Ahmed

dc.contributor.author	Hamdan, Hamdan Ahmed
dc.date.accessioned	2014-04-01T12:11:30Z
dc.date.available	2014-04-01T12:11:30Z
dc.date.issued	2012-01-01
dc.identifier.citation	Hamdan,Hamdan Ahmed .On the Equivalence Problem of Curves in a Riemannian Manifold/Hamdan Ahmed Hamdan;Emad Eldeen Abdallah Abdel Rahim.-Khartoum:Sudan University of Science and Technology,College of Science,2012.-119p. : ill. ; 28cm.-Ms.c.	en_US
dc.identifier.uri	http://hdl.handle.net/123456789/4180
dc.description	Thesis	en_US
dc.description.abstract	The solution of the equivalence problem of curves with values in Riemannian manifold is discussed. Also domain of validity of Frents theorem is shown to be the spaces of constant curvature. Also we investigate that there are two important classes of curves, namely , Frents curves and curves in normal position which are coincide in dimensions  4 only. A sharp bound for asymptotic stabillity of differential invariants is illustrated, also the complete system of invariants is characterized, and different examples are analyzed in detail.	en_US
dc.description.sponsorship	Sudan University of Science and Technology	en_US
dc.language.iso	en	en_US
dc.publisher	Sudan University of Science and Technology	en_US
dc.subject	Mathematics	en_US
dc.subject	differential Equations	en_US
dc.subject	Curves	en_US
dc.subject	Riemannian Manifold	en_US
dc.title	On the Equivalence Problem of Curves in a Riemannian Manifold	en_US
dc.title.alternative	‫حول مسألة التكافؤ للمنحنیات في متعدد طیات ریمان‬	en_US
dc.type	Thesis	en_US