Geometric structures on the tangent bundle of the Einstein spacetime

JANYŠKA, Josef. Geometric structures on the tangent bundle of the Einstein spacetime. Archivum Mathematicum. Brno: Masaryk University, 2006, vol. 42, No 2, p. 195-203. ISSN 0044-8753.

Basic information

• Original name: Geometric structures on the tangent bundle of the Einstein spacetime
• Name in Czech: Geometrické struktury na tečném bundlu Einsteinova prostoročasu
• Authors: JANYŠKA, Josef (203 Czech Republic, guarantor).
• Edition: Archivum Mathematicum, Brno, Masaryk University, 2006, 0044-8753.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: Czech Republic
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• RIV identification code: RIV/00216224:14310/06:00015694
• Organization unit: Faculty of Science
• Keywords in English: Spacetime; spacetime connection; Schouten bracket; Fr\"olicher--Nijenhuis bracket; symplectic structure; Poisson structure
• Tags: Fr\"olicher--Nijenhuis bracket, Poisson structure, Schouten bracket, spacetime, spacetime connection, symplectic structure

Abstract

We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein spacetime.

Abstract (in Czech)

Jou popsány podmínky, za jakých prostoročasová konexe a Lorentzova metrika definují přirozenou symplektickou a Poissonovu struktoru na tečném bandlu Einsteinova prostoročasu.

Links

• GA201/05/0523, research and development project: Name: Geometrické struktury na fibrovaných varietách

Investor: Czech Science Foundation, Geometric structures on fibered manifolds

• MSM0021622409, plan (intention): Name: Matematické struktury a jejich fyzikální aplikace

Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications