The varsity has been at the centre of controversy since the suicide of Dalit scholar Rohith Vemula, and recently after resumption of duty by its Vice Chancellor Appa Rao Podile.
Justice Challa Kodandaram issued notices to the respondents, directing them to explain why the petition filed by Gali Vinodkumar, Principal of PG Law College, Osmania University, should not be admitted.
Vinodkumar contends that the HCU management has failed to take steps for restoration of peace, harmony, law and order and "academic atmosphere" on the university campus.
Political leaders are visiting the HCU campus for their own selfish motives, he says.
While seeking replies, Justice Kodandaram commented that visits to the campus by non-students should be prevented as the first step for restoring normalcy. Visits by outsiders aggravate the situation, he said.
The hearing was adjourned for two weeks.