The Collaborative International Dictionary of English v.0.48:

Moravian \Mo*ra"vi*an\, a.
   Of or pertaining to Moravia, or to the United Brethren. See
   Moravian, n.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Moravian \Mo*ra"vi*an\, n. (Eccl. Hist.)
   One of a religious sect called the United Brethren (an
   offshoot of the Hussites in Bohemia), which formed a separate
   church of Moravia, a northern district of Austria, about the
   middle of the 15th century. After being nearly extirpated by
   persecution, the society, under the name of The Renewed
   Church of the United Brethren, was reestablished in 1722-35
   on the estates of Count Zinzendorf in Saxony. Called also
   Herrnhuter.
   [1913 Webster]

WordNet (r) 3.0 (2006):

Moravian
    adj 1: of or relating to the people or culture of Moravia