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dc.contributor.advisorMassamba, Fortuné.
dc.creatorMazibuko, Langelihle.
dc.date.accessioned2018-12-12T08:24:44Z
dc.date.available2018-12-12T08:24:44Z
dc.date.created2015
dc.date.issued2015
dc.identifier.urihttp://hdl.handle.net/10413/15914
dc.descriptionMaster of Science in Mathematics. University of KwaZulu-Natal, Durban 2015.en_US
dc.description.abstractWe study two classes of CR-submanifolds in Kählerian and cosymplectic manifolds. More precisely, we compare the geometry of CR-submanifolds of the above two underlying smooth manifolds. We derive expressions relat- ing the sectional curvatures, the necessary and sufficient conditions for the integrability of distributions. Further, we study totally umbilical, totally geodesic and foliation geometry of the CR-submanifolds of both spaces and found many interesting results. We prove that, under some condition, there are classes CR submanifold in cosymplectic space forms which are in the classes extrinsic spheres. Examples are given throughout the thesis.en_US
dc.language.isoen_ZAen_US
dc.subjectTheses - Pure Mathematics.en_US
dc.subject.otherCR-manifolds.en_US
dc.subject.otherGeometry of CR-manifolds.en_US
dc.subject.otherKählerian Manifolds.en_US
dc.subject.otherCosymplectic manifolds.en_US
dc.titleOn the geometry of CR-manifolds.en_US
dc.typeThesisen_US


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