Ricci and cotton flows in three dimensions

Taşseten Ata, Kezban
In this thesis, we give a detailed review of the Ricci and Cotton flows in 3 dimensional geometries. We especially study the flows of Thurston's 9 geometries which are used to classify 3 dimensional manifolds.


On the tight contact structures on seıfert fibred 3−manifolds with 4 singular fibers
Medetoğulları, Elif; Ozan, Yıldıray; Department of Mathematics (2010)
In this thesis, we study the classification problem of Stein fillable tight contact structures on any Seifert fibered 3−manifold M over S 2 with 4 singular fibers. In the case e0(M) · −4 we have a complete classification. In the case e0(M) ¸ 0 we have obtained upper and lower bounds for the number of Stein fillable contact structures on M.
Exotic smooth structures on non-simply connected 4-manifolds
Topkara, Mustafa; Ozan, Yıldıray; Department of Mathematics (2010)
In this thesis, we study exotic smooth structures on 4-manifolds with finite fundamental groups. For an arbitrary finite group G, we construct an infinite family of smooth 4-manifolds with fundamental group G, which are all homeomorphic but mutually non-diffeomorphic, using the small symplectic manifold with arbitrary fundamental group constructed by S. Baldridge and P. Kirk, together with the methods of A. Akhmedov, R.Ý. Baykur and D. Park for constructing infinite families of exotic simply connected 4-man...
Simulation of conjugate heat transfer problems using least squares finite element method
Göktolga, Mustafa Uğur; Sert, Cüneyt; Department of Mechanical Engineering (2012)
In this thesis study, a least-squares finite element method (LSFEM) based conjugate heat transfer solver was developed. In the mentioned solver, fluid flow and heat transfer computations were performed separately. This means that the calculated velocity values in the flow calculation part were exported to the heat transfer part to be used in the convective part of the energy equation. Incompressible Navier-Stokes equations were used in the flow simulations. In conjugate heat transfer computations, it is req...
Computer assisted analysis of flow over spillway chutes
Kıranoğlu, Meriç; Yanmaz, A. Melih.; Department of Civil Engineering (2019)
In this study, a literature review is conducted in terms of assumptions, approaches, and various calculation methods used for the analysis of flow over conventional and stepped type spillways. In guidance of this review, a software is developed to perform such analyses with the set of given data by the user, and display results with some tables and figures. To this end, water surface profile over the spillway face is determined considering air entrainment process, pressure distribution over the crest under ...
Einstein aether gravity
Akbaba, Esin; Karasu, Atalay; Department of Physics (2009)
In this thesis, we review some basic properties of the Einstein-aether gravity. We derive the field equations from an action and study a subclass of this theory corresponding to the Einstein-Maxwell like theory. We also show that the Gödel type metrics are also exact solutions of this theory. Furthermore, we determine the observational constraints on the dimensionless preferred parameters of this theory using the parametrized post- Newtonian formalism. We stress that none of calculations and discussions are...
Citation Formats
K. Taşseten Ata, “Ricci and cotton flows in three dimensions,” M.S. - Master of Science, Middle East Technical University, 2013.