anhydrosis

n. (Medicine) condition in which the body does not produce sweat (caused by a defect in the perspiratory system)

Anhidrosis means lack of sweating. It is also known by a number of other names including Adiaphoresis, Ischidrosis, Hypohidrosis, Oligidria, Oligohidrosis and Sweating deficiency.
See more at Wikipedia.org...

Noun
1. failure of the sweat glands
(synonym) anhidrosis
(hypernym) physiological state, physiological condition