Curved Space-Time

Related lectures (30)

Page 2 of 3

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.

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

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Covers Newton's three laws of motion, fundamental forces, and exercises, including gravitational and electromagnetic forces.

Explores surfaces with variable curvature, discussing their construction and properties.

Explores parameterized curves, regularity, and geometric quantities like the carbide vector and curvature.

Explores spatial curves, singularities, and mechanisms, analyzing their geometric properties and applications.

Covers geodesic curves parameterized at constant speed to minimize distances between points.