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)
The focal developable and the binormal indicatrix of a nonlightlike curve in Minkowski 3-space. (English) Zbl 0978.53004
The paper deals with the intrinsic geometry of curves in a pseudo Euclidean 3-space (“Minkowski 3-space”, “pe-space”). Analyzing the instantaneous kinematics of the moving trihedral the authors calculate expressions for the osculating pe-circle, the (hyper)-osculating pe-sphere and the generator of the axoidal surface belonging to a not lightlike (i.e., not isotropic) curve c. The paper is not based on “classical” related references [e.g., O. Giering, “Vorlesungen über höhere Geometrie” (1982; Zbl 0493.51001)]. So besides some typos there occur some less usual terms as for example “focal developable” for the surface enveloped by the pe-normal planes of curve c, “binormal indicatrix” for the pe-spherical image of the binormals of c, “hyperbola and concentric pseudo sphere” for a pair of conjugate pe-spheres.
MSC:
53A04Curves in Euclidean space
53B30Lorentz metrics, indefinite metrics