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);
}