Curvature of Riemannian manifolds

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Page 3 of 4

Analyzes beams, forces, stresses, deformations, curvature, deflection, and rigidity.

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Introduces optimization on manifolds, covering classical and modern techniques in the field.

Explores surfaces with constant null curvature and their development, as well as the construction of networks of curves in hyperbolic paraboloids.

Covers the dimensional reduction of strain energy from 3D to 2D and linear shell theory equilibrium equations.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Covers the theory of beam bending, historical figures, moment-curvature relation, and implications of distributed loads.

Covers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.

Covers global relief indicators, altitude models, slope, orientation, curvature, and morphological indices for terrain description.

Covers the mechanics of plates, focusing on curvature, bending, and stretching energy.