Introduction to Riemannian geometry. Riemannian connections, curvature and geodesics. Applications to submanifolds and to the connection between topology and curvature. The course aims to give a ...

This framework grants insights into the relationship between quantum information, gravity, and the emergence of spacetime geometry while offering practical methods for experimental verification. Our ...

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Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space ...

The new technique, called Coadjoint Orbit FLIP (CO-FLIP), improves upon existing Fluid Implicit Particles (FLIP) methods by preserving two key physical properties of fluid motion: energy and ...

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In this letter, we introduce a discrete differential geometry-based framework for the model-based inverse design of a novel snap-actuated jumping robot. Our findings reveal that the snapping beam ...

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