Advisors
Now showing items 1-4 of 4
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Geodesic connectedness and completeness of twice warped products
(Bilkent University, 2017-09)We introduce the semi-Riemannian geometry. We give some results about Riemannian and Lorentzian manifolds. We explained the Lorentzian causality. We focus on the causality of space-times. We de ne the Lorentzian distance. ... -
Geodesics of three-dimensional walker manifolds
(Bilkent University, 2016-07)We review some basic facts of Lorentzian geometry including causality and geodesic completeness. We depict the properties of curves and planes in threedimensional Minkowski space. We deffne the Walker manifolds, that is, ... -
Minimal surfaces on three-dimensional Walker manifolds
(Bilkent University, 2017-06)Lorentzian Geometry has shown to be very useful in a wide range of studies including many diverse research elds, especially in the theory of general relativity and mathematical cosmology. A Walker manifold descends from ... -
Sectional curvature of standard static space-times
(Bilkent University, 2013)Curvature related geometric properties of warped product manifolds are given. The casual structure of Lorentzian warped products is reviewed. In particular, two well-known examples of warped product space-times models, ...