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The equivalence between the Lanczos-Lovelock and teleparallel gravities isdiscused. It is shown that the teleparallel equivalent of the Lovelock gravityaction is generated by dimensional continuation of the teleparallel equivalentof the Euler characteristics associated to all the lower even dimensions. It isalso found that the teleparallel equivalent of the (i) d-dimensional Eulercharacteristic is a closed form and gauge invariant, (ii) Lovelock action areinvariant both under the Poincare group and diffeomorphisms.

Teleparallel equivalent of higher dimensional gravity theories