zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Space time manifolds and contact structures. (English) Zbl 0715.53032
This paper is an attempt to relate the theory of contact manifolds of Lorentzian geometry, and ultimately, to general relativity. The definitions of an almost contact manifold, contact manifold, and regular contact manifold are extended to the case of a semi-Riemannian manifold. A contact spacetime is defined to be a contact manifold with a semi- Riemannian metric of Lorentzian signature. The author shows that any odd dimensional strongly causal spacetime carries a regular contact structure. The Gödel universe is shown to be an example of a non- regular contact spacetime. A brief discussion of contact CR submanifolds in the context of semi-Riemannian manifolds is given. The idea here is that a 4-dimensional spacetime might be a contact CR submanifold of an ambient (necessarily odd-dimensional) contact manifold. References 15-27 were omitted from publication.
Reviewer: D.Allison
MSC:
53C15Differential geometric structures on manifolds
53C50Lorentz manifolds, manifolds with indefinite metrics
83C99General relativity