A cosmetic or dermatological composition of oil-in-water type comprising, in a physiologically acceptable medium, at least one gemini surfactant of formula: where: - R 1 and R 3 each independently designate an alkyl radical having 1 to 25 carbon atoms; - R 2 designates a spacer formed of a straight or branched alkylene chain having 1 to 12 carbon atoms; - X and Y each independently designate a -(C 2 H 4 O) a -(C 3 H 6 O) b Z group where: • Z designates a hydrogen atom or a radical-CH 2 -COOM, -SO 3 M, -P 2, -C 2 H 4 -SO 3 M, -C 3 H 6 -SO 3 M or -CH 2 (CHOH) 4 CH 2 OH where M is H or an alkaline or alkaline-earth or ammonium or alkanolammonium ion, • a ranges from 0 to 15, • b ranges from 0 to 10, and • the sum a+b ranges from 1 to 25; and - n ranges from 1 to 10, in association with an efficient amount of at least one semi-crystalline polymer solid at ambient temperature and having a melting point lower than 70°C, comprising a) a polymeric backbone and b) at least one crystallisable organic side chain and/or a crystallisable organic sequence belonging to the backbone of said polymer, said polymer having a number average molecular weight of 2000 or higher, said semi-crystalline polymer being selected from among homopolymers and copolymers resulting from the polymerisation of at least one monomer with crystallisable chain selected from among C 14 -C 24 saturated alkyl (meth)acrylates; said emulsion having a fatty phase content higher than 10 % by weight relative to the total weight of the composition and comprising more than 40 % by weight of non-volatile oil(s) relative to the weight of the fatty phase; said composition differing from the following compositions A and B: Ingredients Composition Composition A (wt.%) B (wt.%) Disodium EDTA 0.1 0.1 Preserving agent 1.25 1.25 Glycerine 4 4 Propylene glycol 4 4 Water 61.65 61.65 86 wt.% particle dispersion Styrene/acrylates copolymer (Sunspheres Powder by ROHM & HAAS) 2 - Poly(C 10 -C 30)alkylacrylates (Intelimer 13-1 by LANDEC) 1 1 Mixture of glyceryl stearate, behenic alcohol, sodium dicocoylethylendiamine PEG-15 sulfate, glyceryl stearate citrate 2 2 Isononyl isononaoate 4 4 Cetyl alcohol 0.5 0.5 Butyl methoxy dibenzoylmethane 3 3 Ethylhexyl salicylate 5 5 Octocrylene 7 7 Fragrance 0.4 0.4 Tocopherol 0.2 0.2 Copolymer acrylates 0.7 0.7 Triethanolamine 0.2 0.2 - R 1 and R 3 each independently designate an alkyl radical having 1 to 25 carbon atoms; - R 2 designates a spacer formed of a straight or branched alkylene chain having 1 to 12 carbon atoms; - X and Y each independently designate a -(C 2 H 4 O) a -(C 3 H 6 O) b Z group where: • Z designates a hydrogen atom or a radical-CH 2 -COOM, -SO 3 M, -P 2, -C 2 H 4 -SO 3 M, -C 3 H 6 -SO 3 M or -CH 2 (CHOH) 4 CH 2 OH where M is H or an alkaline or alkaline-earth or ammonium or alkanolammonium ion, • a ranges from 0 to 15, • b ranges from 0 to 10, and • the sum a+b ranges from 1 to 25; and • Z designates a hydrogen atom or a radical-CH 2 -COOM, -SO 3 M, -P 2, -C 2 H 4 -SO 3 M, -C 3 H 6 -SO 3 M or -CH 2 (CHOH) 4 CH 2 OH where M is H or an alkaline or alkaline-earth or ammonium or alkanolammonium ion, • a ranges from 0 to 15, • b ranges from 0 to 10, and • the sum a+b ranges from 1 to 25; and - n ranges from 1 to 10,