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 -