equiaffine space composition Cartesian Chebichevian geodesic
Issue Date:
12-May-2009
Publisher:
Association for the Development of the Information Society
Abstract:
In an equiaffine space q N E using the connection
define with
projective tensors
na
and
ma
the connections 1
, 2
and 3
. For the
spaces N N 1A ,2A and N 3A , with coefficient of connection 1
, 2
and 3
respectively, we proved that the affinor of composition and the projective affinors
have equal covariant derivatives. It follows that the connection 3
is equaffine
as well, and the connections
and 3
are projective to each other. In the
case where q N E and N 3A have equal Ricci tensors, we find the fundamental nvector
.
In [4] compositions with structural affinor
a are studied. Space containing
compositions with symmetric connection and Weyl connection are studied in [6]
and [7] respectively.
