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 ...

Under the hood, mathematical problems called partial differential equations ... other PDEs that appear in graphics and geometry processing head-on. For example, they focused on static surfaces ...

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In the same way, we can define derivatives of matrix-valued operators as linear operators on matrices. For example, f(X)=X² gives f'(X)[dX] = X dX + dX X. Or f(X) = X⁻¹ gives f'(X)[dX] = –X⁻¹ dX X⁻¹.

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