Tensei means different things depending on the Kanji used.
Edo Tensei = Impure World Reincarnation
Muki Tensei = Inorganic Reincarnation
Fushi Tensei = Undead Reincarnation
Kisho Tensei = Self-Life Reincarnation
Chibaku Tensei = Ground-Exploding Heavenly Body
Shinra Tensei = God's Heavenly Conqueror
Gedo: Rinne Tensei no Jutsu = Outer Path: Samsara of Heavenly Life Technique
so its probably a homonym...