Concept
3-sphere
Related lectures (125)
Closed Surfaces and Integrals
Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.
Gaussian Curvature and Geodesics
Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Surface Integrals: Regular Parametrization
Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.
Bird's-eye view and aimsMOOC: Introduction to optimization on smooth manifolds: first order methods
Covers optimization on manifolds, smoothness, tools needed for optimization, and advanced algorithms using Hessians and Riemannian connections.
Internal Transport: Mass Balance and Maxwell-Stefan Equation
Explores internal transport phenomena, focusing on mass balance and the Maxwell-Stefan Equation in single pores.
Homotopy Extension Property
Demonstrates how to obtain homotopy equivalences between different spaces using the homotopy extension property.
Solar Radiation on Mars
Explains the calculation of solar power reaching Mars and the importance of considering the correct surface area for evaluation.
Conformity and Compliancy in Geometry
Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.
Surfaces with Constant Curvature
Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.
Cell Attachment: Large Cell
Delves into cell attachment, exploring its implications for different cell dimensions.