A rotor assembly for a turbine engine, in particular for a turbine or a compressor, comprising a rotor comprising - at least two consecutive rotor stages (10a, 10b) fitted with a plurality of mobile blades, and - an annular rotor shroud connecting said two consecutive rotor stages (10a, 10b); a stator comprising - at least one stator stage, fitted with a plurality of fixed blades, provided between said two consecutive rotor stages (10a, 10b), and - a stator ring, annular, mounted on said fixed blades; in which one of the elements among the rotor shroud and the stator ring bears at least one wiper configured to cooperate with an abradable track carried by the other of said elements; - in which the rotor shroud comprises, at one at least of its upstream and downstream ends, an oblique contact portion, that is to say inclined with respect to the main axis of the rotor assembly, resting on an oblique support surface of the corresponding rotor stage, said oblique support surface, inclined with respect to the main axis of the rotor assembly, being an outer surface of a projection advancing from a base part of the corresponding rotor stage, the base part being the root of a mobile blade of the corresponding rotor stage or a low wall or a flange connecting the roots of the mobile blades of the corresponding rotor stage, in which the oblique contact portion has the same inclination (λ) as the oblique support surface of the corresponding rotor stage, and characterized in that the inclination (λ) of the oblique contact portion relative to the main axis of the rotor assembly is between 35 and 75° so that, when the rotor stage dilates under the effect of heat, the oblique contact portion of the rotor shroud slides along the oblique support surface of the rotor stage and therefore moves inwards and down to control and substantially cancel the total radial displacement of the rotor shroud. a rotor comprising - at least two consecutive rotor stages (10a, 10b) fitted with a plurality of mobile blades, and - an annular rotor shroud connecting said two consecutive rotor stages (10a, 10b); - at least two consecutive rotor stages (10a, 10b) fitted with a plurality of mobile blades, and - an annular rotor shroud connecting said two consecutive rotor stages (10a, 10b); a stator comprising - at least one stator stage, fitted with a plurality of fixed blades, provided between said two consecutive rotor stages (10a, 10b), and - a stator ring, annular, mounted on said fixed blades; - at least one stator stage, fitted with a plurality of fixed blades, provided between said two consecutive rotor stages (10a, 10b), and - a stator ring, annular, mounted on said fixed blades; in which one of the elements among the rotor shroud and the stator ring bears at least one wiper configured to cooperate with an abradable track carried by the other of said elements; - in which the rotor shroud comprises, at one at least of its upstream and downstream ends, an oblique contact portion, that is to say inclined with respect to the main axis of the rotor assembly, resting on an oblique support surface of the corresponding rotor stage, said oblique support surface, inclined with respect to the main axis of the rotor assembly, being an outer surface of a projection advancing from a base part of the corresponding rotor stage, the base part being the root of a mobile blade of the corresponding rotor stage or a low wall or a flange connecting the roots of the mobile blades of the corresponding rotor stage, - in which the rotor shroud comprises, at one at least of its upstream and downstream ends, an oblique contact portion, that is to say inclined with respect to the main axis of the rotor assembly, resting on an oblique support surface of the corresponding rotor stage, said oblique support surface, inclined with respect to the main axis of the rotor assembly, being an outer surface of a projection advancing from a base part of the corresponding rotor stage, the base part being the root of a mobile blade of the corresponding rotor stage or a low wall or a flange connecting the roots of the mobile blades of the corresponding rotor stage, in which the oblique contact portion has the same inclination (λ) as the oblique support surface of the corresponding rotor stage, and characterized in that the inclination (λ) of the oblique contact portion relative to the main axis of the rotor assembly is between 35 and 75° so that, when the rotor stage dilates under the effect of heat, the oblique contact portion of the rotor shroud slides along the oblique support surface of the rotor stage and therefore moves inwards and down to control and substantially cancel the total radial displacement of the rotor shroud.