Provided is a cosmetic method for treating perspiration and, optionally, the body odors related to thereto, e.g. underarm odors, with an effective amount of particles of an expanded amorphous mineral material or of a composition thereof, and more particularly containing expanded perlite particles. The composition can contain, in a cosmetically acceptable carrier, at least the above particles and at least one antiperspirant salt or complex. Also provided is a composition containing, in a cosmetically acceptable carrier, at least the above particles and at least one antiperspirant salt or complex. Also, provided is an anhydrous solid composition in stick form comprising in a cosmetically acceptable carrier: (i) more than 1% by weight, relative to the total weight of the composition, of expanded mineral particles as defined above； and (ii) at least one fatty phase comprising at least one volatile oil and/or at least one non-volatile oil and a structuring agent.
