General covariant derivatives for general connections
نویسندگان
چکیده
منابع مشابه
General Covariant Stability Theory
In the present work we suggest a general covariant theory which can be used to study the stability of any physical system treated geometrically. Stability conditions are connected to the magnitude of the deviation vector. This theory is a modification of an earlier joint work, by the same authors, concerning stability. A comparison between the present work and the earlier one is given. The sugg...
متن کاملConnections for general group actions
Principal bundles serve as a powerful and elegant geometric framework for analyzing group actions and symmetry. Beyond their geometric origins, principal bundles play significant roles in the analysis of mechanical systems with symmetry, as well as the design of appropriate computational algorithms. A connection on a principal bundle is defined as an equivariant decomposition of vectors into in...
متن کاملAsymptotics for General Connections at Infinity
For a standard path of connections going to a generic point at infinity in the moduli spaceMDR of connections on a compact Riemann surface, we show that the Laplace transform of the family of monodromy matrices has an analytic continuation with locally finite branching. In particular the convex subset representing the exponential growth rate of the monodromy is a polygon, whose vertices are in ...
متن کاملNull Cones in Lorentz-covariant General Relativity *
The oft-neglected issue of the causal structure in the flat spacetime approach to Einstein’s theory of gravity is considered. Consistency This work is based on a portion of the first’s author’s dissertation, supervised by the second author. The Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas at Austin, Austin, TX 78712 USA, and Mathematics...
متن کاملGeneral report: session on connections
As a result of a world-wide intensive research activity, a new design concept for structural moment resistant joints has been suggested and implemented in design codes. In the present paper, its background is first briefly described and the main contributions to its development are presented. As a matter of fact, because of the high number of past and ongoing researches, reports and papers devo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2011
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2011.04.016