We introduce a concept of convolution metric in Finslerian Geometry.
This convolution metric is a kind of function obtained by a given mathematical operation
between two Finslerian metrics. Then, we study some basic properties of the Finslerian convolution
metrics. Hence, we characterize Finslerian convolution metrics which are of type
Riemannian, Minkowskian as well as Randers. Furthermore, we give some examples of the Finslerian convolutions.
Accès :