Tez özetleri Astronomi ve Uzay Bilimleri Anabilim Dalı

Some Crıterıons for Constancy in Almost Hermıtıan Manıfolds
The main aim here is researching the various curvatures (sectional, holomorphic sectional etc.) belong to submanifolds of almost Hermitian manifolds. We will give some criterions for constancy of the curvatures that we usually use.
This study consists of five main chapters. In the first chapter, the history of studied concepts takes a part.
The second chapter consists of eighteen subchapter. In the first subchapter, we give the fundamental definitions and theorems of Riemannian manifolds. We also define the basic tools like Riemannian connection, curvature tensor, sectional curvature etc. in this subchapter to analyse the geometry of a Riemannian manifold. In the second subchapter, we present the Gauss, Codazzi and Ricci equations to analyse the Riemannian submanifolds and the geometry of them. In the third subchapter, we study the fundamental definitions and theorems under almost Hermitian manifolds. We mention some of their classes in the fourth subchapter. The well known almost Hermitian manifold classes, Kählerian manifold takes a part in the fifth subchapter. The some of submanifolds of almost Hermitian manifolds we use in this thesis is will use in the thesis, appear in the sixth subchapter. The eight subchapter includes the axiom of r-planes and the seventh subchapter the axiom of r-spheres. The nineth subchapter contains the axiom of holomorphic 2-planes, with the tenth subchapter we submit the axiom of holomorphic 2-spheres. The axiom of anti-invariant 2-planes appears in the eleventh subchapter and the axiom of anti-invariant 2-spheres are in the twelfth subchapter. We present the axiom of holomorphic 2r-planes (2r-spheres) in the thirteenth subchapter and the axiom of anti-invariant r-planes in the fourteenth subchapter. The fifteenth subchapter contains the axiom of -holomorphic 2-planes (2-spheres) and the sixteenth subchapter contains the axiom of coholomorphic 3-spheres. Finally, we explain the axiom of holomorphic (2r+1)-spheres in the seventeenth subchapter and the axiom of hemi-slant 3-spheres in the eighteenth.
In the third chapter, we describe the the tools and applied methods we use through this thesis.
The fourth chapter is essential part of our thesis. In this chapter, we clarify the alternative proofs and also generalizations we have given within thesis . Furthermore we give some examples to make the topic more understandable.
In the fifth chapter, we review the study.

  

MOLEKÜLER BİYOLOJİ VE GENETİK ANABİLİM DALI

ORMAN MÜHENDİSLİĞİ ANABİLİM DALI
????  

Tez Adı : Atatürk Arboretumu (İstanbul) topraklarının Toprak Kaynakları için Dünya Referans Temeli`ne Göre Sınıflandırılması

Danışman : Prof. Dr. Doğanay Tolunay

Anabilim Dalı : Orman Mühendisliği

Programı : Toprak İlmi ve Ekoloji

Mezuniyet Yılı : 2013

Tez Savunma Jürisi : Prof. Dr. Doğanay Tolunay

Prof. Dr. M. Ömer Karaöz

Prof. Dr. Kamil Şengönül

Doç Dr. Orhan Sevgi

Doç Dr. Gülriz Bayçu Kahyaoğlu