Men in period did not, to my knowledge, dance the women's solo unless they were dressed as women and pretending to be women. For example, troupes of young boys were well known in Turkey. They dressed as women even to the point of growing their hair very long and were often castrated to heighten the effect. Most men's dance tended to reflect a man's life during period, dealing with hunting and fighting movements. These dances are aggressive, agile and often repetitive in movement.
Ceremonial dance is dance done for a religious or ceremonial purpose.
As time went on, this form of dance moved from a public format to a private and more restrictive format. It continues on in India and several specific places in North Africa up until the current time, but died out or lost power in other areas. Trance dancing is one form of ceremonial dance that has survived to the current time. Some examples of modern dances that embody this are the Guedra and the Zar of North Africa and Egypt. The Guedra is a blessing dance that the Tuareq people teach as Pre-Islamic and I have found an Egyptian Hieroglyph that looks like a woman perfuming the Guedra.