On the null geometry of quasi generalized CR-submanifolds of indefinite nearly α-Sasakian manifolds.
| dc.contributor.advisor | Massamba, Fortuné. | |
| dc.contributor.author | Ssekajja, Samuel. | |
| dc.date.accessioned | 2018-02-27T07:20:23Z | |
| dc.date.available | 2018-02-27T07:20:23Z | |
| dc.date.created | 2017 | |
| dc.date.issued | 2017 | |
| dc.description | Master of Science in Pure Mathematics. University of KwaZulu-Natal, Pietermaritzburg 2017. | en_US |
| dc.description.abstract | Generalized CR (GCR)-lightlike submanifolds of indefinite almost contact manifolds were introduced by K. L. Duggal and B. Sahin, with the assumption that they are tangent to the structure vector field ξ of the almost contact structure (φ,η,ξ ). Contrary to the above assumption, we have introduced and studied a new class of CR-lightlike submanifold of an indefinite nearly α-Sasakian manifold, called quasi generalized CR (QGCR)-lightlike submanifold. We have showed that QGCR-lightlike submanifold include; ascreen QGCR, co-screen QGCR and the well known GCR-lightlike submanifolds. We have proved some existence (or non-existence) theorems and provided a thorough study of geometry of their distributions. Also, we have constructed many examples, where necessary, to illustrate the main ideas. | en_US |
| dc.identifier.uri | http://hdl.handle.net/10413/15061 | |
| dc.language.iso | en_ZA | en_US |
| dc.subject | Theses - Pure Mathematics. | en_US |
| dc.subject.other | CR - Submanifolds. | en_US |
| dc.subject.other | Quasi generalized CR - submanifolds. | en_US |
| dc.subject.other | Null geometry. | en_US |
| dc.title | On the null geometry of quasi generalized CR-submanifolds of indefinite nearly α-Sasakian manifolds. | en_US |
| dc.type | Thesis | en_US |