It is shown that a large class of higher-order (i.e. non-quadratic) scalar
kinetic terms can, without the help of potential terms, drive an inflationa
ry evolution starting from rather generic initial conditions. In many model
s, this kinetically driven inflation (or "k-inflation" for short) rolls slo
wly from a high-curvature initial phase, down to a low-curvature phase and
can exit inflation to end up being radiation-dominated, in a naturally grac
eful manner. We hope that this novel inflation mechanism might be useful in
suggesting new ways of reconciling the string dilaton with inflation. (C)
1999 Published by Elsevier Science B.V. All rights reserved.