TY - CHAP
T1 - Geometrical structures on space-time
AU - Borchers, Hans Jürgen
AU - Sen, Rathindra Nath
PY - 2006/12/1
Y1 - 2006/12/1
N2 - The chief aim of this chapter is to define the geometrical structures, global and local, that are associated with the notion of causality. The work described later in this volume is the exploration of an abstraction from this notion. We shall begin with a review of the relevant global geometrical structures on ℝn, and then proceed to the local structures. We shall follow Hermann Weyl's approach [115], modified as necessary to incorporate later developments, in the discussion of geometrical structures. A few terms used by Weyl and still in use have changed meanings, and we shall point these out. Most of this material will be familiar to geometers and relativity theorists, but perhaps less so to others.
AB - The chief aim of this chapter is to define the geometrical structures, global and local, that are associated with the notion of causality. The work described later in this volume is the exploration of an abstraction from this notion. We shall begin with a review of the relevant global geometrical structures on ℝn, and then proceed to the local structures. We shall follow Hermann Weyl's approach [115], modified as necessary to incorporate later developments, in the discussion of geometrical structures. A few terms used by Weyl and still in use have changed meanings, and we shall point these out. Most of this material will be familiar to geometers and relativity theorists, but perhaps less so to others.
UR - http://www.scopus.com/inward/record.url?scp=33847244817&partnerID=8YFLogxK
U2 - 10.1007/3-540-37681-X_2
DO - 10.1007/3-540-37681-X_2
M3 - Chapter
AN - SCOPUS:33847244817
SN - 3540376801
SN - 9783540376804
T3 - Lecture Notes in Physics
SP - 7
EP - 14
BT - Mathematical Implications of Einstein-Weyl Causality
ER -