Yavuz, Bengi Ruken2016-01-082016-01-082013http://hdl.handle.net/11693/16890Ankara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent University, 2013.Thesis (Master's) -- Bilkent University, 2013.Includes bibliographical references leaves 45-47.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, i.e, generalized Robertson-Walker and standard static space-times are studied. The sectional curvature of a standard static space-time is established and some conditions are obtained to have nonnegative sectional curvature so that applications of singularity theorems to a standard static space-time can be considered.vii, 54 leavesEnglishinfo:eu-repo/semantics/openAccesssemi-Riemannian geometrywarped productsGeneralized RobertsonWalker space-timesStandard Static space-timessectional curvaturegeodesicQA645 .Y38 2013Curvature.Semi-Riemannian geometry.Relativity (Physics)Space and time.Thesis