Warped product poi̇ntwi̇se slant submani̇folds i̇n para-complex geometry

The thesis consists of five sections. In the introduction section, informations are given about previous studies that will form the basis of this study and the content of this study is explained. In the previous studies section, the historical developments of this study are given. In the material and method section, basic concepts, theorems and examples are obtained for use them in next chapters. In the findings and discussion section, the original section of our thesis is given. In this part, firstly concepts, theorems and examples with related to pointwise semi-slant and bi-slant submanifold in para Kaehler geometry are obtained. Also, concepts, theorems and examples with related to pointwise hemi-slant submanifolds in nearly para-Kaehler geometry are given. In this section, since pointwise slant submanifolds are researched, non-constant angles are obtained. Because angles that depend on the variable are formed. According to the range of values of these angles, Type-1 and Type-2 cases of submanifolds in para-Kaehler geometry and nearly para-Kaehler geometry are examined. In addition, the integrability of the distributions and their totally geodesicness status are explained according to type-1 and type-2 cases. Secondly, non-trivial warped product pointwise semi-slant submanifolds in para-Kaehler geometry are investigated and non-trivial doubly warped product pointwise bi-slant submanifold in para Kaehler geometry are studied. Also, non-trivial warped product pointwise hemi-slant submanifolds in nearly para Kaehler geometry are investigated. Definitions, theorems and examples related to these are given. In the third part of this section, the inequalities related to these studies are created. Firstly, the inequalities and results regarding the non-trivial warped product pointwise semi-slant submanifolds in para-Kaehler geometry are investigated. Secondly, the inequalities and results regarding the non-trivial doubly warped product pointwise bi-slant submanifolds in para-Kaehler geometry are obtained. At the end of this section, the inequalities and results regarding the non-trivial warped product pointwise hemi-slant submanifolds in nearly para-Kaehler geometry are examined. In the conclusion and suggestions section, a general evaluation of the thesis is made and suggestions are given to contribute to the next studies.