The educational metaverse will be improved greatly with the fast development of 6G networks, which offer high-speed bandwidth and low latency, and the ability to support many devices at once. The paper provides a critical assessment of the self-managed resource management approaches that are vital in ensuring technological reliability and quality of learning in the 6G-enabled metaverse. Among the major threats are the maintenance of network stability, the availability of resources, and minimizing latency, which is crucial when dealing with real-time interactions in virtual learning environments. Interactive technologies like Virtual Reality (VR) and Augmented Reality (AR) are also useful to complement learning because they provide hands-on experiential learning, which is central to increasing student engagement and ease of access to the content. As noted in the review, some of the AI-based solutions, including reinforcement learning and federated learning, can be used to optimize the allocation of resources in real time, thereby facilitating the smooth functionality of the metaverse platforms. Although current strategies are promising, technological bottlenecks, such as network congestion, interference, and security issues, are still a major challenge. The future directions of research involve finding out the sustainability practices, enhancing interoperability among the metaverse platforms, and finding solutions to the question of data privacy. Network engineering, AI, and education science require interdisciplinary efforts to overcome these difficulties and guarantee the successful implementation of a stable and quality 6G-powered educational metaverse. The study will help to offer valuable information on creating efficient, scalable, and secure systems to support further educational metaverses. The review of 51 studies has shown that AI strategies can decrease latency by up to 50%.