On the convex invariance in Finsler geometry
arXiv:0905.3181 · doi:10.26830/symmetry_2012_2
Abstract
As a natural application of the {\it theory of geometric averaging} in Finsler geometry and generalized Finsler geometry, a new approach to investigate {\it generalized Finsler geometry}, based on a convex invariance of the average structures, is introduced.
The general treatment for averaging of geometric objects has been deleted. We concentrate on Finsler type averages, 6 pages