The incident occurred in Malihabad, about 25 km from Lucknow, late on Tuesday.
Raj Kumar, 32, the teacher, used to live with his parents in Gadaho village. He became friendly with the young woman, in her 20s, and eloped with him on Monday.
Police officer Javed Khan told IANS that a case of murder had been registered against the woman's father, Raja Ram, and her two brothers, Anil and Munish. Police have launched a search for the three. (IANS)