Almost L-structures and nearly-Kaehlerian structures

dc.contributor.advisor Özdemir, Fatma
dc.contributor.author Türkoğlu, Mustafa Deniz
dc.contributor.authorID 335818 tr_TR
dc.contributor.department Mathematical Engineering Programme tr_TR
dc.date.accessioned 2020-11-17T12:00:09Z
dc.date.available 2020-11-17T12:00:09Z
dc.date.issued 2013
dc.description Thesis (M.Sc.) -- İstanbul Technical University, Institute of Science and Technology, 2013 tr_TR
dc.description.abstract In this thesis, we introduce almost L-structures and nearly-Kaehlerian structures on Weyl spaces to examine curvature properties of Weyl spaces having these structures. We also define Einstein L-Weyl space and we give a necessary and sufficient condition for an Einstein L-Weyl space to be Einstein space. Moreover, we define the generalized Einstein tensor in L-Weyl spaces and express it in terms of almost L-structures. Then, almost complex and almost Kaehlerian structures on Weyl space are defined. We construct almost L-structures and nearly-Kaehlerian structures. We prove the integrability condition of Kaehlerian Weyl space and proved that nearly-Kaehlerian Weyl space is a Kaehlerian-Weyl space if the structure is integrable. In addition, we give some theorems which are used to find out generalized Einstein L-Weyl tensor. In the conclusion, we reveal how all these structures are related with Einstein space. By means of the theorems, we also state the generalized Einstein L-Weyl tensor in the terms of curvature tensor, covariant curvature tensor and tensors which are defined. tr_TR
dc.description.degree M.Sc. tr_TR
dc.identifier.uri http://hdl.handle.net/11527/18809
dc.language.iso en tr_TR
dc.publisher Istanbul Technical University tr_TR
dc.subject Mathematics tr_TR
dc.title Almost L-structures and nearly-Kaehlerian structures tr_TR
dc.title.alternative Hemen hemen L-yapılar ve yaklaşık Kahler yapılar tr_TR
dc.type Thesis tr_TR
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