1. Differences Between The Way Men And Women Pray
Yes, there are minor differences between the physical actions of a man's prayer in comparison to a woman's prayer. Al-Hajjawi and Al-Buhuti write that
A woman prays like a man except that she bunches herself together and sits with her legs slightly slid underneath her to her right. (b: If there is a non-mahram male who can hear her, it is obligatory for her to conceal her recitation so that only she hears it.) (Al-Raud al-murbi`, p74)
M ar`i bin Yusuf writes the same, though a bit clearer and with a few additional details
Women are like men in all that was previously mention--even concerning raising the hands. However, she bunches herself together when bowing and prostrating and does not unbunch herself [like a man]; she sits with her legs slightly slid underneath her on the right--and this is best--or cross-legged; and she must conceal her recitation when non-marhman men hear it, and otherwise there is no harm in making it audible. (Ghayat al-muntaha, 1.132-33)
Please note that the only obligatory difference concerns recitation, and that even though it would be unlawful for a woman to raise her recitation where non-mahram men hear it, the prayer would still be valid. The other differences fall under the category of recommended actions during prayer.
The general topic of general related differences associated to prayer is found in hadith literature known as the musannafat. The musannafat include accounts from the Prophet (Allah bless him and give him peace), his Companions (Allah be pleased with them), and the first few generations of Successors. The discussion is in the Musannaf of Abu Bakr `Abd al-Razzaq bin Hammam al-San`ani right before the chapter on Friday Prayer, or more precisely 3.126-51.
And Allah knows best.