Strip post_tags from list of returned taxonomy terms

Use this function to determine if Taxonomy is hierarchical or not:

Function Reference/is taxonomy hierarchical « WordPress Codex

Example:

// taxonomy term archives
$post_type = get_post_type();
$taxonomies = get_object_taxonomies($post_type);
if(!empty($taxonomies)){
foreach($taxonomies as $taxonomy){
    // only want hierarchical -- no tags please
    if(is_taxonomy_hierarchical($taxonomy)){
        $terms = get_terms($taxonomy);
        if(!empty($terms)){ 
            echo "<ul>";
            foreach ( $terms as $term ) {
                echo '<li><a href="'.get_term_link($term->slug, $taxonomy).'">'.     $term->name . "</a></li>";
            }
            echo "</ul>";
        }
    }
}

} // this was missing