Put together, the words “dance” and “spring” may conjure a mental image of barefoot people with flowers in their hair holding hands and skipping in circles. You can find such people in Mark Morris’s 2013 “Spring, Spring, Spring,” which will have its New York debut during his company’s season at the Brooklyn Academy of Music (April 22 through 26). What you won’t find is the ritual sacrifice from the original scenario for this work’s score, Stravinsky’s “The Rite of Spring.”