Real lies (2003)

Blurb
This book contains three separate and unusual stories set in alternate realities. The first story, “How Martians Conquer the Earth,” tells the tale of a young woman struggling with the sudden death of the man she loves. Can anyone ever replace him? The second tale, “Is It Really Impossible?,” makes you wonder if a man and a woman can truly be just friends, especially in a world where women are such a rare find. And the last of the three, “Science Fiction Story,” is a sad tale about a girl who hates robots and the humanoid who serves her. The creator, who believes that the best privilege artists get is to “lie,” creates a whole new world beyond your imagination.

Source: www.anisearch.com/manga/25698