Curved treadmill comprising: a base extended along a longitudinal axis, the base comprising: - a first roller adapted to rotate around a respective first rotation axis, the first rotation axis being substantially transverse to the longitudinal axis of the base; - a second roller adapted to rotate around a respective second rotation axis, the second rotation axis being substantially transverse to the longitudinal axis of the base; - a physical exercise surface operatively connected to the first roller and to the second roller, the physical exercise surface having a lateral profile that is curved with respect to the longitudinal axis of the base, the physical exercise surface being configured for rotating around the first roller and the second roller, converting the potential energy of the user on the physical exercise surface into rotational kinetic energy; - a first pulley operatively connected to the first roller, the first pulley being adapted to rotate around a respective rotation axis; - a first coupling device operatively connected between the first roller and the first pulley, during a walk or run on the physical exercise surface in a first rotational sense, if the user maintains or increases the run or walk speed along a first advancement sense, the first coupling device is adapted to allow the transmission of the motion from the first roller to the first pulley, during a walk or run on the physical exercise surface, if the user reduces the running or walking speed along the first advancement sense, corresponding to and opposite the first rotational sense of the physical exercise surface, the first coupling device is adapted to prevent the transmission of the motion from the first roller to the first pulley, characterized in that the base also comprises at least one brake device operatively connected to the first roller, the brake device being configured for exerting a braking action on the first pulley, the first coupling device also being configured for allowing the exercise of the braking action of the brake device during the rotation of the physical exercise surface in the first rotation sense along the longitudinal axis of the base, only if the user maintains or increases the physical exercise speed, such that the rotation speed of the first roller is greater than or equal to the rotation speed of the first pulley. a base extended along a longitudinal axis, the base comprising: - a first roller adapted to rotate around a respective first rotation axis, the first rotation axis being substantially transverse to the longitudinal axis of the base; - a second roller adapted to rotate around a respective second rotation axis, the second rotation axis being substantially transverse to the longitudinal axis of the base; - a physical exercise surface operatively connected to the first roller and to the second roller, the physical exercise surface having a lateral profile that is curved with respect to the longitudinal axis of the base, the physical exercise surface being configured for rotating around the first roller and the second roller, converting the potential energy of the user on the physical exercise surface into rotational kinetic energy; - a first pulley operatively connected to the first roller, the first pulley being adapted to rotate around a respective rotation axis; - a first coupling device operatively connected between the first roller and the first pulley, - a first roller adapted to rotate around a respective first rotation axis, the first rotation axis being substantially transverse to the longitudinal axis of the base; - a second roller adapted to rotate around a respective second rotation axis, the second rotation axis being substantially transverse to the longitudinal axis of the base; - a physical exercise surface operatively connected to the first roller and to the second roller, the physical exercise surface having a lateral profile that is curved with respect to the longitudinal axis of the base, the physical exercise surface being configured for rotating around the first roller and the second roller, converting the potential energy of the user on the physical exercise surface into rotational kinetic energy; - a first pulley operatively connected to the first roller, the first pulley being adapted to rotate around a respective rotation axis; - a first coupling device operatively connected between the first roller and the first pulley, during a walk or run on the physical exercise surface in a first rotational sense, if the user maintains or increases the run or walk speed along a first advancement sense, the first coupling device is adapted to allow the transmission of the motion from the first roller to the first pulley, during a walk or run on the physical exercise surface, if the user reduces the running or walking speed along the first advancement sense, corresponding to and opposite the first rotational sense of the physical exercise surface, the first coupling device is adapted to prevent the transmission of the motion from the first roller to the first pulley, characterized in that the base also comprises at least one brake device operatively connected to the first roller, the brake device being configured for exerting a braking action on the first pulley, the first coupling device also being configured for allowing the exercise of the braking action of the brake device during the rotation of the physical exercise surface in the first rotation sense along the longitudinal axis of the base, only if the user maintains or increases the physical exercise speed, such that the rotation speed of the first roller is greater than or equal to the rotation speed of the first pulley.