On the covariant exterior differentiation on Weil bundles

KOLÁŘ, Ivan and Antonella CABRAS. On the covariant exterior differentiation on Weil bundles. In Differential Geometry and Its Applications, Proceedings. Opava: Silesian University of Opava, 2002, p. 63-72. ISBN 80-7248-166-5.

Basic information

• Original name: On the covariant exterior differentiation on Weil bundles
• Authors: KOLÁŘ, Ivan (203 Czech Republic, guarantor) and Antonella CABRAS (380 Italy).
• Edition: Opava, Differential Geometry and Its Applications, Proceedings, p. 63-72, 2002.
• Publisher: Silesian University of Opava

Other information

• Original language: English
• Type of outcome: Proceedings paper
• Field of Study: 10101 Pure mathematics
• Country of publisher: Czech Republic
• Confidentiality degree: is not subject to a state or trade secret
• RIV identification code: RIV/00216224:14310/02:00007240
• Organization unit: Faculty of Science
• ISBN: 80-7248-166-5
• Keywords in English: Weil bundle; prolongation of exterior forms; linear connection; covariant exterior differential
• Tags: covariant exterior differential, linear connection, prolongation of exterior forms, Weil bundle

Abstract

We study the prolongation of linear connections on a vector bundle E and of E-valued k-forms with respect to an arbitrary Weil functor. We present a practical algorithm for finding these procedures that is heavily based on the mulltiplication in the Weil algebra in question.

Links

• GA201/99/0296, research and development project: Name: Diferenciální geometrie vyššího řádu

Investor: Czech Science Foundation, Differential geometry of higher order

• MSM 143100009, plan (intention): Name: Matematické struktury algebry a geometrie

Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry