Isometric embeddings of snowflakes into finite-dimensional Banach spaces
  We consider a general notion of snowflake of a metric space by composing the distance by a nontrivial concave function.   We prove that a snowflake of a metric space $X$ isometrically embeds into some finite-dimensional normed space if and only if $X$ is finite. In the case of power functions we give a uniform bound on the cardinality of $X$ depending only on the power exponent and the dimension of the vector space. 
Enrico Le Donne, Tapio Rajala, Erik Walsberg
math.MG