We study a c = -2 conformal field theory coupled to two-dimensional qu
antum gravity by means of dynamical triangulations. We define the geod
esic distance r on the triangulated surface with N triangles, and show
that dim[r(dH)] = dim[N], where the fractal dimension d(H) = 3.58 +/-
0.04. This result lends support to the conjecture d(H) = -2 alpha(1)/
alpha(-1), where alpha(-n) is the gravitational dressing exponent of a
spin-less primary field of conformal weight (n + 1, n + 1), and it di
sfavors the alternative prediction d(H) = -2/gamma(str). On the other
hand, we find dim[l] = dim[r(2)] with good accuracy, where l is the le
ngth of one of the boundaries of a circle with (geodesic) radius r, i.
e. the length I has an anomalous dimension relative to the area of the
surface, It is further shown that the spectral dimension d(s) = 1.980
+/- 0.014 for the ensemble of (triangulated) manifolds used. The resu
lts are derived using finite size scaling and a very efficient recursi
ve sampling technique known previously to work well for c = -2. (C) 19
97 Elsevier Science B.V.