Higher order valued reduction theorems for classical connections

✍ Scribed by Josef Janyška

• Book ID: 111487834
• Publisher: SP Versita
• Year: 2005
• Tongue: English
• Weight: 284 KB
• Volume: 3
• Category: Article
• ISSN: 1895-1074
• DOI: 10.2478/bf02479205

✦ Synopsis

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.