[Read about the events that our other critics have chosen for the week ahead.]

LINCOLN CENTER OUT OF DOORS at Damrosch Park (Aug. 2, 7 p.m.; Aug. 7, 7:30 p.m.). This free festival of eclectic performances under the sky boasts two dance offerings this week. On Friday, catch Caleb Teicher & Company performing clever and charming pieces that draw from American forms like tap, swing and jazz. The troupe follows a screening of the famed 1972 concert “Liza With a ‘Z’” and precedes the talented students of LaGuardia High School, doing a Bob Fosse number. On Wednesday, the dashing flamenco dancer Jesús Carmona presents his work “Amator,” an ode to Spanish dance. He’s paired with the Pakistani musician Arooj Aftab, who blends Sufi poetry with indie rock.

212-721-6500, lcoutofdoors.org

WABAFU GARIFUNA DANCE THEATER at Crotona Park (Aug. 2, 6 p.m.). As part of the city’s free SummerStage programming, this Bronx-based dance company joins with the musicians of the Garifuna Collective to share the cultural heritage of the Garifuna at this park in its home borough. Descendants of Afro-indigenous people in the Caribbean, Garifuna were later exiled to Central America, and a sizable population now lives in the Crotona neighborhood. Their buoyant dance style, with roots in the African dance of their ancestors, involves athletic jumps, lightning-quick feet that match a driving, rhythmic drum score, and fast spins that send colorful skirts flying in waves.

cityparksfoundation.org/summerstage



YANG LIPING CONTEMPORARY DANCE at the David H. Koch Theater (Aug. 8-10, 7:30 p.m.). Beginning in 206 B.C., two would-be dynasties fought for control of China in what is known as the Chu-Han Contention. (The Han won.) That epic war is the subject of “Under Siege,” an elaborate dance-theater work by the Chinese choreographer Yang Liping, part of Lincoln Center’s Mostly Mozart Festival. She presents ancient history through a modern lens, combining folk and contemporary dance, hip-hop and martial arts to evoke the rush of battle. The piece is set inside a stunning visual world by Tim Yip, who won an Oscar for his design of “Crouching Tiger, Hidden Dragon.”

212-721-6500, lincolncenter.org/mostly-mozart-festival