Chen’s Inequalities For Submanifolds

Bakheet, Dawood Abdallah Khareef; Supervisor, -Mohammed Ali Bashir

dc.contributor.author	Bakheet, Dawood Abdallah Khareef
dc.contributor.author	Supervisor, -Mohammed Ali Bashir
dc.date.accessioned	2019-12-15T13:38:07Z
dc.date.available	2019-12-15T13:38:07Z
dc.date.issued	2019-10-03
dc.identifier.citation	Bakheet, Dawood Abdallah Khareef . Chen’s Inequalities For Submanifolds \ Dawood Abdallah Khareef Bakheet ; Mohammed Ali Bashir .- Khartoum: Sudan University of Science and Technology, College of Science, 2019 .- 144p. :ill. ;28cm .- PHD	en_US
dc.identifier.uri	http://repository.sustech.edu/handle/123456789/24105
dc.description	Thesis	en_US
dc.description.abstract	In this thesis we studied one of the most important properties of a submanifold, namely the curvature that describes different geometrical and topological properties of a submanifold. We have three classes of submanifolds in a manifold 𝛭, and these classes are: 𝑖𝑚𝑚𝑒𝑟𝑠𝑒𝑑, 𝑖𝑚𝑏𝑒𝑑𝑑𝑒𝑑, 𝑎𝑛𝑑 𝑟𝑒𝑔𝑢𝑙𝑎𝑟. We discussed the basic equations for submanifold and fundamental theorems of submanifolds. We also investigated some special submanifolds, namely, minimal, totally geodesic, totally umbilical, totally real, CR (Cauchy Riemann) and parallel. In particular submanifolds of finite type in Euclidean space and Chen’s inequality have been treated and some results have been obtained.	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	Sciences	en_US
dc.subject	Mathematics	en_US
dc.subject	Chen’s Inequalities	en_US
dc.subject	Submanifolds	en_US
dc.title	Chen’s Inequalities For Submanifolds	en_US
dc.title.alternative	متباينات چين لمتعددات الطيات الجزئية	en_US
dc.type	Thesis	en_US