public sealed class FileGeodatabaseConnectionPath : Connector 

public void CreateFileGeodatabaseSnippet()
{
  // Create a FileGeodatabaseConnectionPath with the name of the file geodatabase you wish to create
  FileGeodatabaseConnectionPath fileGeodatabaseConnectionPath =
    new FileGeodatabaseConnectionPath(new Uri(@"C:\Path-To-File-Geodatabase\YourName.gdb"));

  // Create and use the file geodatabase
  using (Geodatabase geodatabase =
    SchemaBuilder.CreateGeodatabase(fileGeodatabaseConnectionPath))
  {
    // Create additional schema here
  }
}

public void DeleteFileGeodatabaseSnippet()
{
  // Create a FileGeodatabaseConnectionPath with the name of the file geodatabase you wish to delete
  FileGeodatabaseConnectionPath fileGeodatabaseConnectionPath = new FileGeodatabaseConnectionPath(new Uri(@"C:\Path-To-File-Geodatabase\YourName.gdb"));

  // Delete the file geodatabase
  SchemaBuilder.DeleteGeodatabase(fileGeodatabaseConnectionPath);
}