Generalized Weyl-type gauge geometry

Journal Article · Thu Aug 01 00:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526874· OSTI ID:5597262

Bergmann, P G; Komar, A

Weyl-type gauge geometry based on gauging by GL(4, R) and presented in an earlier paper is developed from an alternative point of view, which emphasizes independent geometric objects as the building blocks. This approach avoids most of the elaborate calculations of the earlier paper, and thus contributes to an intuitive understanding. The new building blocks, which are the metric and two different affine connections, uniquely determine the tensorial structures of the earlier paper, and vice versa.

• Research Organization: Department of Physics, Syracuse University, Syracuse, New York 13210 and Department of Physics, New York University, 4 Washington Place, New York, New York 10003
• OSTI ID: 5597262
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:8; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COORDINATES
GAUGE INVARIANCE
GEOMETRY
GROUP THEORY
INVARIANCE PRINCIPLES
MAPPING
MATHEMATICS
METRICS
SPACE-TIME
SYMMETRY
SYMMETRY GROUPS
TENSORS
TOPOLOGICAL MAPPING
TRANSFORMATIONS