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In this paper, it is shown, using a geometrical approach, the isotropy of thevelocity of light measured in a rotating frame in Minkowski space-time, and itis verified that this result is compatible with the Sagnac effect. Furthermore,we find that this problem can be reduced to the solution of geodesic trianglesin a Minkowskian cylinder. A relationship between the problems established onthe cylinder and on the Minkowskian plane is obtained through a local isometry.

Isotropy of the Velocity of Light and the Sagnac Effect