AbstractThe space of Lorentz metrics on a compact manifold is very different from its Riemannian analogue. There are usually many connected components. We show that some of them turn out to be not simply connected. We also show that, in dimension greater than 2, the distance between two components is always
The famous Hopf-Rinow Theorem states, amongst others, that a Riemannian manifold is metrically compl...
We introduce an analogue of the theory of length spaces into the setting of Lorentzian geometry and ...
Cataloged from PDF version of article.Thesis (M.S.): Bilkent University, Department of Mathematics, ...
We consider (compact or noncompact) Lorentzian manifolds whose holonomy group has compact closure. T...
On a smooth $n$-manifold $M$ with $n \geq 3$, we study pairs $(g,T)$ consisting of a Riemannian metr...
AbstractIn this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a c...
We present an extension of Geodesics in Lorentzian Manifolds (Semi-Riemannian Manifolds or pseudo-Ri...
AbstractA method to construct stably causal Lorentzian metrics on noncompact manifolds is presented....
AbstractSuppose that (M, g) and (M′, g′) are Lorentz manifolds, and that f: M → M′ is a bijection, s...
We define a one-parameter family of canonical volume measures on Lorentzian (pre-)length spaces. In ...
Recently discovered examples of Lorentz manifolds have renewed interest in the field among group the...
We investigate connections between pairs of Riemannian metrics whose sum is a (tensor) product of a ...
In metric geometry, the question of whether a distance metric is given by the length of curves can b...
AbstractSome results related to the causality of compact Lorentzian manifolds are proven: (1) any co...
The null distance of Sormani and Vega encodes the manifold topology as well as the causality structu...
The famous Hopf-Rinow Theorem states, amongst others, that a Riemannian manifold is metrically compl...
We introduce an analogue of the theory of length spaces into the setting of Lorentzian geometry and ...
Cataloged from PDF version of article.Thesis (M.S.): Bilkent University, Department of Mathematics, ...
We consider (compact or noncompact) Lorentzian manifolds whose holonomy group has compact closure. T...
On a smooth $n$-manifold $M$ with $n \geq 3$, we study pairs $(g,T)$ consisting of a Riemannian metr...
AbstractIn this paper we study the geodesical connectedness of Lorentzian manifolds. We consider a c...
We present an extension of Geodesics in Lorentzian Manifolds (Semi-Riemannian Manifolds or pseudo-Ri...
AbstractA method to construct stably causal Lorentzian metrics on noncompact manifolds is presented....
AbstractSuppose that (M, g) and (M′, g′) are Lorentz manifolds, and that f: M → M′ is a bijection, s...
We define a one-parameter family of canonical volume measures on Lorentzian (pre-)length spaces. In ...
Recently discovered examples of Lorentz manifolds have renewed interest in the field among group the...
We investigate connections between pairs of Riemannian metrics whose sum is a (tensor) product of a ...
In metric geometry, the question of whether a distance metric is given by the length of curves can b...
AbstractSome results related to the causality of compact Lorentzian manifolds are proven: (1) any co...
The null distance of Sormani and Vega encodes the manifold topology as well as the causality structu...
The famous Hopf-Rinow Theorem states, amongst others, that a Riemannian manifold is metrically compl...
We introduce an analogue of the theory of length spaces into the setting of Lorentzian geometry and ...
Cataloged from PDF version of article.Thesis (M.S.): Bilkent University, Department of Mathematics, ...
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