  Lanczos-Lovelock models of gravity represent a natural and elegant
generalization of Einstein's theory of gravity to higher dimensions. They are
characterized by the fact that the field equations only contain up to second
derivatives of the metric even though the action functional can be a quadratic
or higher degree polynomial in the curvature tensor. Because these models share
several key properties of Einstein's theory they serve as a useful set of
candidate models for testing the emergent paradigm for gravity. This review
highlights several geometrical and thermodynamical aspects of Lanczos-Lovelock
models which have attracted recent attention.
