Abstract
By canonical Monte Carlo simulations on fixed connectivity surfaces of spherical topology, we investigate a surface model whose Hamiltonian is defined by a linear combination of an area energy and an intrinsic curvature energy. We find three distinct phases; crumpled, tubular, and smooth. The first two are smoothly connected, and the last two are connected by a discontinuous transition. Surfaces become considerably slight in the tubular phase, which separates the crumpled phase and the smooth one.