Almost L-structures and nearly-Kaehlerian structures
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 | Master Thesis | tr_TR |