SeriesChapman and Hall/Crc Pure and Applied Mathematics Ser.
FormatHardcover
Dimensions
Item Height1.5 in
Item Weight35.3 Oz
Item Length9.4 in
Item Width6.2 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
LCCN96-000957
Dewey Edition20
Series Volume Number202
Volume NumberVol. 202
IllustratedYes
Dewey Decimal516.3/7
Table Of ContentIntroduction - Riemannian themes in Lorentzian geometry; connections and curvature; Lorentzian manifolds and causality; Lorentzian distance; examples of space-times; completness and extendibility; stability of completeness and incompleteness; maximal geodesics and causally disconnected space-times; the Lorentzian cut locus; Morse index theory on Lorentzian manifolds; some results in global Lorentzian geometry; singularities; gravitational plane wave space-times; the splitting problem in global Lorentzian geometry. Appendices: Jacobi Fields and Toponogov's theorem for Lorentzian manifolds; from the Jacobi, to a Riccati, to the Raychaudhuri equation - Jacobi Tensor Fields and the exponential map revisited.
Edition DescriptionRevised edition,New Edition
SynopsisBridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.