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We show, that classical Kaluza-Klein theory possesses hidden nematicdynamics. It appears as a consequence of 1+4-decomposition procedure, involving4D observers 1-form \lambda. After extracting of boundary terms the, so called,"effective matter" part of 5D geometrical action becomes proportional to squareof anholonomicity 3-form \lambda\wedge d\lambda. It can be interpreted as twistnematic elastic energy, responsible for elastic reaction of 5D space-time onpresence of anholonomic 4D submanifold, defined by \lambda. We derive both 5Dcovariant and 1+4 forms of 5D nematic equilibrium equations, consider simpleexamples and discuss some 4D physical aspects of generic 5D nematic topologicaldefects.Comment: Latex-2e, 14 pages, 1 Fig., submitted to GR

Nematic Structure of Space-Time and Its Topological Defects in 5D Kaluza-Klein Theory