Gildemeister is a German surname. Notable people with the surname include:Alfred Gildemeister (1875–1928), German politician Eberhard Gildemeister (1897–1978), German architect Fritz Gildemeister, Chilean-American tennis player, brother of Hans and Heinz Hans Gildemeister, Chilean tennis player, brother of Fritz and Heinz Heinz Gildemeister, Chilean-Peruvian tennis player, brother of Fritz and Hans Johann Gildemeister (1812–1890), German Orientalist Karl Gildemeister (1820–1869), German architect Laura Gildemeister, Peruvian tennis player, ex-wife of Heinz Otto Gildemeister (1823–1902), German journalist and translator Rita Gildemeister, German athlete