diff --git a/geoviews/operation/projection.py b/geoviews/operation/projection.py
index 645bdc7c..fe52aa91 100644
--- a/geoviews/operation/projection.py
+++ b/geoviews/operation/projection.py
@@ -132,11 +132,13 @@ def _process_element(self, element):
             projected = gpd.GeoDataFrame(projected, columns=element.data.columns)
         elif element.interface is MultiInterface:
             x, y = element.kdims
-            item = element.data[0]
-            if isinstance(item, dict) and 'geometry' in item:
+            item = element.data[0] if element.data else None
+            if item is None or (isinstance(item, dict) and 'geometry' in item):
                 return element.clone(projected, crs=self.p.projection)
             projected = [geom_dict_to_array_dict(p, [x.name, y.name]) for p in projected]
-            if pd and isinstance(item, pd.DataFrame):
+            if any('holes' in p for p in projected):
+                pass
+            elif pd and isinstance(item, pd.DataFrame):
                 projected = [pd.DataFrame(p, columns=item.columns) for p in projected]
             elif isinstance(item, np.ndarray):
                 projected = [np.column_stack([p[d.name] for d in element.dimensions()])
diff --git a/geoviews/util.py b/geoviews/util.py
index ac5a3d6c..01ea7337 100644
--- a/geoviews/util.py
+++ b/geoviews/util.py
@@ -97,7 +97,8 @@ def geom_dict_to_array_dict(geom_dict, coord_names=['Longitude', 'Latitude']):
         holes = []
         for interior in geom.interiors:
             holes.append(geom_to_array(interior))
-        new_dict['holes'] = [holes]
+        if holes:
+            new_dict['holes'] = [holes]
     elif geom.geom_type == 'MultiPolygon':
         outer_holes = []
         for g in geom:
@@ -105,7 +106,8 @@ def geom_dict_to_array_dict(geom_dict, coord_names=['Longitude', 'Latitude']):
             for interior in g.interiors:
                 holes.append(geom_to_array(interior))
             outer_holes.append(holes)
-        new_dict['holes'] = outer_holes
+        if any(hs for hs in outer_holes):
+            new_dict['holes'] = outer_holes
     return new_dict