A generalized wintgen inequality for legendrian submanifolds in kenmotsu statistical manifolds


Thesis Type: Postgraduate

Institution Of The Thesis: Bursa Uludağ University, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2019

Thesis Language: Turkish

Student: Ruken Görünüş

Supervisor: CENGİZHAN MURATHAN

Abstract:

This Master Thesis contains seven basic sections. The first section is the introduction. In this section, it is introduced from the history of Wintgen inequalities. In the second chapter, it is introduced basic definitions and formulas. In the third chapter, some basic concepts about submanifolds theory are introducted. In the fourth chapter, Wintgen inequality which is one of the intrinsic and extrinsic invariant relations and which is known as the DDVV will be given. The fifth chapter has two basic parts. The first subsection is consists of the statistical structuries and the second subsection is devoted the statistical submanifolds. The almost Kenmotsu statistical submanifolds is introduced in the six chapter. In the seventh chapter, generalized Wintgen inequality for Legendrian submanifolds in 𝑓′(𝑡) / 𝑓(𝑡) −Kenmotsu statistical manifolds.