docs: change 'name' to distribution name (#379)

diff --git a/.repo-metadata.json b/.repo-metadata.json
index 4c8ebe1..ac3191c 100644
--- a/.repo-metadata.json
+++ b/.repo-metadata.json
@@ -1,10 +1,10 @@
 {
-  "name": "google-auth-library-python",
+  "name": "google-auth",
   "name_pretty": "Google Auth Python Library",
-  "client_documentation": "https://googleapis.dev/python/google-auth-library-python/latest",
+  "client_documentation": "https://googleapis.dev/python/google-auth/latest",
   "issue_tracker": "https://github.com/googleapis/google-auth-library-python/issues",
   "release_level": "ga",
   "language": "python",
   "repo": "googleapis/google-auth-library-python",
   "distribution_name": "google-auth"
-}
\ No newline at end of file
+}