caa a22 4500 467887217 CHVBK 20180406152738.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s10714-006-0235-z doi (NATIONALLICENCE)springer-10.1007/s10714-006-0235-z Geodesic connectedness of the causal completion in the Lorentzian geometry [Elektronische Daten] [Do-Hyung Kim, Jin-Whan Yim] We consider the topology of the BS causal completion, and show that it is not distorted in the causal direction. Using this result, we show that the causal completion with spacelike causal boundary in the sense of the BS construction satisfies the formal definition of the global hyperbolicity. We also show that any two causally related points in the causal completion can be connected by a causal geodesic. Springer-Verlag, 2006 Causality nationallicence Causal boundary nationallicence Singularity nationallicence Lorentzian geometry nationallicence Kim Do-Hyung Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1, Kusong-Dong, Yusong-Gu, 305-701, Taejon, Korea aut Yim Jin-Whan Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1, Kusong-Dong, Yusong-Gu, 305-701, Taejon, Korea aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 38/3(2006-03-01), 485-493 0001-7701 38:3<485 2006 38 10714 https://doi.org/10.1007/s10714-006-0235-z text/html Onlinezugriff via DOI 1 review-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0235-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kim Do-Hyung Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1, Kusong-Dong, Yusong-Gu, 305-701, Taejon, Korea aut NATIONALLICENCE 700 1- Yim Jin-Whan Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1, Kusong-Dong, Yusong-Gu, 305-701, Taejon, Korea aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 38/3(2006-03-01), 485-493 0001-7701 38:3<485 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer