Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 112, pp. 1-18. Title: Stabilization of a semilinear wave equation with variable coefficients and a delay term in the boundary feedback Authors: Jing Li (Shanxi Univ., Taiyuan, China) Hongyinping Feng (Shanxi Univ., Taiyuan, China) Jieqiong Wu (Shanxi Univ., Taiyuan, China) Abstract: We study the uniform stabilization of a semilinear wave equation with variable coefficients and a delay term in the boundary feedback. The Riemannian geometry method is applied to prove the exponential stability of the system by introducing an equivalent energy function. Submitted January 28, 2013. Published April 30, 2013. Math Subject Classifications: 35L05 58J45. Key Words: Delay feedback; Riemannian geometric method; variable coefficients; semilinear wave equation.