Abstract:
This thesis deals with fundamental constructions and concepts concerning the theory of
Lorentzian length spaces, which can be described as an abstraction of Lorentzian
geometry in the spirit of metric length spaces and metric geometry. On the one hand, a
gluing construction for Lorentzian length spaces is developed. Building on this, an
analogue to the Reshetnyak gluing theorem as well as the preservation of various other
(causal) properties are established. On the other hand, a splitting theorem for spaces with
non-negative curvature bounds in the sense of triangle comparison is presented.
Zoom-Link:
univienna.zoom.us/j/62146248282
09
Meeting ID: 621 4624 8282
Passcode: 391958