We　consider　the　stabilization　of　the　wave　equation　with　variable　coefficients　in　a　bounded　domain　with　smooth　boundary,　subject　to　linear　dissipative　internal　feedback　with　a　delay.　Our　stabilization　result　is　mainly　based　on　the　use　of　the　Riemannian　geometry　methods,　the　energy-perturbed　approach　and　the　multiplier　skills.　(c)　2013　Elsevier　Inc.　All　rights　reserved.