Mathematics – Differential Geometry
Scientific paper
2005-01-31
Int. J. Geom. Meth. Mod. Phys. 4 (6), 965-985 (2007)
Mathematics
Differential Geometry
revised version
Scientific paper
The objective of the present paper (the second in a series of four) is to give a theory of multivector and extensor fields on a smooth manifold M of arbitrary topology based on the powerful geometric algebra of multivectors and extensors. Our approach does not suffer the problems of earlier attempts which are restricted to vector manifolds. It is based on the existence of canonical algebraic structures over the so-called canonical space associated to a local chart (U_{o},phi_{o}) of the maximal atlas of M. The key concepts of a-directional ordinary derivatives of multivector and extensor fields are defined and their properties studied. Also, we introduce the Lie algebra of smooth vector fields and the Hestenes derivatives whose properties are studied in details.
Fernandez Veronica
Moya Antonio M.
Rodrigues Waldyr A. Jr.
No associations
LandOfFree
Multivector and Extensor Fields on Smooth Manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multivector and Extensor Fields on Smooth Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multivector and Extensor Fields on Smooth Manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-113068