Replace FilePath with base::FilePath in some more top level directories.

sync/internal_api/sync_manager_impl.h

Index: sync/internal_api/sync_manager_impl.h
diff --git a/sync/internal_api/sync_manager_impl.h b/sync/internal_api/sync_manager_impl.h
index 75bc930251bae66e1dd0f4f9fec97b127cff153a..dff9c4bbb1a760d2b6e0ec2e1fa09a3ea133d8e3 100644
--- a/sync/internal_api/sync_manager_impl.h
+++ b/sync/internal_api/sync_manager_impl.h
@@ -64,7 +64,7 @@ class SYNC_EXPORT_PRIVATE SyncManagerImpl :
 
   // SyncManager implementation.
   virtual void Init(
-      const FilePath& database_location,
+      const base::FilePath& database_location,
       const WeakHandle<JsEventHandler>& event_handler,
       const std::string& sync_server_and_path,
       int sync_server_port,
@@ -290,7 +290,7 @@ class SYNC_EXPORT_PRIVATE SyncManagerImpl :
 
   syncable::Directory* directory();
 
-  FilePath database_path_;
+  base::FilePath database_path_;
 
   const std::string name_;