"You have already arrested 14-15 Hindu youths. A few more are being tortured. Please don't do such things in future. It won't be nice, situation in Arsikere may getdisturbed, peace may get disturbed," he is seen speaking to Hassan district Superintendent of Police Rahul Kumar Shahapurwad in the video footage.
Congress Spokesperson Brijesh Kalappa, who posted the video on his Facebook, has accused Yeddyurappa of trying to "influence" the course of investigation into the murder case.
"It is a clear indication that Yeddyurappa wants to influence the course of investigation," he alleged.
Violence had erupted in Arsikere following the murder of 24 year-old Emanuel Varun, who was stabbed to death on May 29 with some shops being attacked in the fallout of the incident.
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The video of the murder had gone viral.
Police said differences between two groups of youths had led to the murder and there was no communal angle to it.
When Varun and his friend raised the issue with another person, the latter's friend allegedly stabbed him.
11 persons have been arrested in connection with the murder and another 13 over the violence that followed the crime.
Among those arrested, a few are said to be associated with Hindu groups.
"We have made all arrests based on the evidence available. We have the video footage of violent incidents in which the arrested accused participated," the SP said.