La. Civ. Code art. 719
Current with operative changes from the 2024 Third Special Legislative Session
Except as provided in Article 718, the successor of the co-owner who has consented to the establishment of a predial servitude, whether on the entire estate owned in indivision or on his undivided part only, occupies the same position as his ancestor. If he becomes owner of a divided part of the estate the servitude burdens that part, and if he becomes owner of the whole the servitude burdens the entire estate.
La. C.C. § 719