zbMATH — the first resource for mathematics

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.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
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)
An introduction to moving frames. (English) Zbl 1069.53005
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5--12, 2003. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-8-7/pbk). 67-80 (2004).
Since the method of moving frames was introduced by G. Darboux and developed by E. Cartan it has become a powerful tool for discussing geometric properties of submanifolds with respect to a transformation group in differential geometry. A new approach to moving frames, defining them as equivariant maps from the manifold $M$ to the Lie group acting on $M$ is due to the author. The present paper is a good survey of one of the main contributors to the theory of moving frames indicating applications in geometry, computer vision, classical invariant theory and numerical analysis. For the entire collection see [Zbl 1048.53002].
53A05Surfaces in Euclidean space
53-02Research monographs (differential geometry)
53A55Differential invariants (local theory), geometric objects
65D17Computer aided design (modeling of curves and surfaces)
68U05Computer graphics; computational geometry
53A04Curves in Euclidean space
moving frames
Full Text: Link