Depends. Most countries have extradition treaties. If someone is wanted in a different country they will arrest them and send them over even though they are not accused of a local crime.
I don't know if Germany/India has one. I would expect it though, most countries figure if you are a criminal you are more likely to commit another crime so better let someone else deal with you before then. Thus such treaties are pretty universal.
There are confounding situations here though. Most countries won't make an international incident over what they consider a minor crime: if Germany hasn't asked India, India is stuck unable to arrest someone they might not want to. Also both countries have to agree on the crimes, if India doesn't consider what he is accused of immoral (seems unlikely), or they dislike the legal punishment they don't have to do anything. Many countries won't extradite murders to the US until the US agrees not to seek the death penalty.
