// Renaming a FeatureDataset from 'Parcel_Information' to 'Parcel_Information_With_Tax_Jurisdiction'
string originalDatasetName = "Parcel_Information";
string datasetRenameAs = "Parcel_Information_With_Tax_Jurisdiction";
FeatureDatasetDefinition originalDatasetDefinition =
geodatabase.GetDefinition<FeatureDatasetDefinition>(originalDatasetName);
FeatureDatasetDescription originalFeatureDatasetDescription =
new FeatureDatasetDescription(originalDatasetDefinition);
SchemaBuilder schemaBuilder = new SchemaBuilder(geodatabase);
// Rename the existing FeatureDataset, 'Parcel_Information' to 'Parcel_Information_With_Tax_Jurisdiction'
schemaBuilder.Rename(originalFeatureDatasetDescription, datasetRenameAs);
schemaBuilder.Build();