Geometrical structures on space-time

Hans Jürgen Borchers, Rathindra Nath Sen

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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.

Original languageEnglish
Title of host publicationMathematical Implications of Einstein-Weyl Causality
Number of pages8
StatePublished - 1 Dec 2006

Publication series

NameLecture Notes in Physics
ISSN (Print)0075-8450

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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