Studies in Mathematical Sciences
| Fatih Doğan (mathfdogan@hotmail.com) |
| Mathematics, Ankara University |
| November, 2011 |
Abstract |
| This master thesis comprises six chapters.The first chapter consists of introduction and basic notions.The second chapter is based on SO(3) Lie group and so(3) Lie algebra structure. Besides, 1-parameter subgroup of SO(3) and exponential map are defined.In the third chapter, it is given the relation between Riemannian connection and bi-invariant metric. The fourth chapter is formed both SE(3) Lie group structure and se(3) Lie algebra construction. Moreover, Riemannian metric and invariant vector fields on SE(3) are defined. In the fifth chapter, curvatures of left invariant metrics are broughted in. In the last chapter, it is found adjoint representations of so(3) and se(3) Lie algebras as well as shown the relation between bi-invariant metric and adjoint representations. |
Share us to: 
Reminder
If you have already registered in Journal A and plan to submit article(s) to Journal B, please click the CATEGORIES, or JOURNALS A-Z on the right side of the "HOME".
We only use three mailboxes as follows to deal with issues about paper acceptance, payment and submission of electronic versions of our journals to databases:
caooc@hotmail.com; sms@cscanada.net; sms@cscanada.org
Articles published in Studies in Mathematical Sciences are licensed under Creative Commons Attribution 4.0 (CC-BY).
STUDIES IN MATHEMATICAL SCIENCES Editorial Office
Address: 1055 Rue Lucien-L'Allier, Unit #772, Montreal, QC H3G 3C4, Canada.
Telephone: 1-514-558 6138
Http://www.cscanada.net
Http://www.cscanada.org
E-mail:caooc@hotmail.com
Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures 
