diff --git a/Kernel_23/include/CGAL/aff_transformation_tags.h b/Kernel_23/include/CGAL/aff_transformation_tags.h
index ea25f0bf3ab..bfb773acb0d 100644
--- a/Kernel_23/include/CGAL/aff_transformation_tags.h
+++ b/Kernel_23/include/CGAL/aff_transformation_tags.h
@@ -38,11 +38,11 @@ class Identity_transformation {};
 
 #ifndef CGAL_HEADER_ONLY
 
-CGAL_EXPORT extern Translation              TRANSLATION;
-CGAL_EXPORT extern Rotation                 ROTATION;
-CGAL_EXPORT extern Scaling                  SCALING;
-CGAL_EXPORT extern Reflection               REFLECTION;
-CGAL_EXPORT extern Identity_transformation  IDENTITY;
+CGAL_EXPORT extern const Translation              TRANSLATION;
+CGAL_EXPORT extern const Rotation                 ROTATION;
+CGAL_EXPORT extern const Scaling                  SCALING;
+CGAL_EXPORT extern const Reflection               REFLECTION;
+CGAL_EXPORT extern const Identity_transformation  IDENTITY;
 
 #endif
 
diff --git a/Kernel_23/include/CGAL/aff_transformation_tags_impl.h b/Kernel_23/include/CGAL/aff_transformation_tags_impl.h
index 5194c5f4645..d454b445653 100644
--- a/Kernel_23/include/CGAL/aff_transformation_tags_impl.h
+++ b/Kernel_23/include/CGAL/aff_transformation_tags_impl.h
@@ -24,22 +24,10 @@
 
 namespace CGAL {
 
-#ifdef CGAL_HEADER_ONLY
-
-const Translation             TRANSLATION;
-const Rotation                ROTATION;
-const Scaling                 SCALING;
-const Reflection              REFLECTION;
-const Identity_transformation IDENTITY;
-
-#else // CGAL_HEADER_ONLY
-
-Translation             TRANSLATION;
-Rotation                ROTATION;
-Scaling                 SCALING;
-Reflection              REFLECTION;
-Identity_transformation IDENTITY;
-
-#endif // CGAL_HEADER_ONLY
+const Translation             TRANSLATION = Translation();
+const Rotation                ROTATION = Rotation();
+const Scaling                 SCALING = Scaling();
+const Reflection              REFLECTION = Reflection();
+const Identity_transformation IDENTITY = Identity_transformation();
 
 } //namespace CGAL