JANYŠKA, Josef. Higher order valued reduction theorems for classical connections. Central European Journal of Mathematics. 2005, vol. 3, No 2, p. 294-308. ISSN 1644-3616.
Other formats:   BibTeX LaTeX RIS
Basic information
Original name Higher order valued reduction theorems for classical connections
Name in Czech Redukční věty vyššího řádu pro klasické konexe
Authors JANYŠKA, Josef (203 Czech Republic, guarantor).
Edition Central European Journal of Mathematics, 2005, 1644-3616.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Poland
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/05:00012438
Organization unit Faculty of Science
Keywords in English natural bundle; natural operator; classical connection; reduction theorem
Tags classical connection, natural bundle, natural operator, reduction theorem
Changed by Changed by: prof. RNDr. Josef Janyška, DSc., učo 1384. Changed: 12/2/2010 13:43.
Abstract
We generalize reduction theorems for classical connections to operators with values in $k$-th order natural bundles. Using the 2nd order valued reduction theorems we classify all (0,2)-tensor fields on the cotangent bundle of a manifold with a linear (non-symmetric) connection.
Abstract (in Czech)
Klasické redukční věty pro lineární konexi na varietě jsou zobecněny pro přirozené operátory s hodnotami v přirozených bandlech vyššího řádu. Obecná teorie je aplikována na klasifikaci tensorových polí typu (0,2) na kotečném bandlu variety s lineární nesymetrickou konexí.
Links
GA201/02/0225, research and development projectName: Prodlužování geometrických struktur
Investor: Czech Science Foundation, Prolongation of geometric structures
PrintDisplayed: 30/5/2024 06:16