Results 211 to 220 of about 5,522 (253)

Isometries of Spacetimes Without Observer Horizons. [PDF]

open access: yesCommun Math Phys
García-Heveling L, Zeghib A.
europepmc   +1 more source

Development of a Telehealth-Enabled Portable Optical Endomicroscopy System with Targeted Peptides: A Preclinical Feasibility Study for Cervical Cancer Detection. [PDF]

open access: yesCancers (Basel)
Thaijiam C   +6 more
europepmc   +1 more source

Natural principal connections on the principal gauge prolongation of a principal bundle

Reports on Mathematical Physics, 2009
For a principal bundle \(P\) over a manifold \(M\) with structure group \(G\) and an integer \(r\), one can form the \(r\)-th principal prolongation \(W^rP\), which essentially consists of \(r\)-jets of local principal bundle charts. This is a principal bundle with structure group the \(r\)-th prolongation \(W^r_mG\), where \(m\) is the dimension of ...
Josef Janyška
exaly   +3 more sources

Principal bundle, parabolic bundle, and holomorphic connection

2003
Let E G be a principal G—bundle over a rationally connected variety, where G is a complex algebraic group. Then any holomorphic connection on E G is flat. We describe a necessary and sufficient condition for a parabolic vector bundle over a Riemann surface to admit a logarithmic connection compatible with the parabolic structure.
Indranil Biswas
exaly   +2 more sources

Connections on a Principal Bundle

2020
This chapter discusses connections on a principal bundle. Throughout the chapter, G will be a Lie group with Lie algebra g. One possible definition of a connection on a principal G-bundle P is a C∞ right-invariant horizontal distribution on P. Equivalently, a connection on P can be given by a right-equivariant g-valued 1-form on P that is the identity ...
openaire   +2 more sources

Principal Bundles and Connections

2003
The notion of principal bundle as introduced in Section 1.3 is recalled. Invariant vector fields are then introduced as well as the bundle of vertical automorphisms and the bundle of infinitesimal generators of vertical principal automorphisms. Lie derivatives for principal automorphisms and infinitesimal generators of vertical automorphisms are ...
Lorenzo Fatibene, Mauro Francaviglia
openaire   +1 more source

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