First, look at the terms of your lease regarding whether there are any conditions that are the responsibility of the tenant. Second, I believe Minn. Stat. 504B.161 is the closest you will find on the issue. Ultimately, the owner is liable for any injuries sustained on the property due to unsafe conditions, so even if there is no specific statute on the issue, the landlord should still take reasonable steps to keep the property safe.
Note: Nothing in this comment constitutes legal adivce nor establishes an attorney-client relationship.