Differential Geometric Methods for Robot Path Planning and Control.

This research applies advanced differential geometric techniques to address challenges in robot path planning and control. The paper develops a framework that utilizes concepts from Riemannian geometry and optimal control theory to generate smooth, collision-free, and energy-efficient trajectories for robotic manipulators and mobile robots. The proposed methods have direct real-world applications in industrial automation, autonomous systems, and surgical robotics, offering improved efficiency, safety, and precision in robotic operations.