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A group G acts infinitely transitively on a set Y if for every positiveinteger m, its action is m-transitive on Y. Given a real affine algebraicvariety Y of dimension greater than or equal to two, we show that, under a mildrestriction, if the special automorphism group of Y (the group generated byone-parameter unipotent subgroups) is infinitely transitive on each connectedcomponent of the smooth locus of Y, then for any real affine suspension X overY, the special automorphism group of X is infinitely transitive on eachconnected component of the smooth locus of X. This generalizes a recent resultby Arzhantsev, Kuyumzhiyan and Zaidenberg over the field of real numbers.

Infinitely transitive actions on real affine suspensions