Concept

Curvature form

Related lectures (13)

Electromagnetic Fields

Covers the dynamics of electromagnetic fields and flat space-time properties.

Exponential Map and Curvature Tensor

Covers the exponential map, covariant derivatives, connection coefficients, and Riemann curvature tensor.

Symmetries and Conservation Laws

Explores Killing vectors, conserved quantities, symmetric spaces, and the Riemann curvature tensor properties.

Discrete Differential Geometry

Covers topics in discrete differential geometry, including differential operators, Laplace-Beltrami operator, functions on triangle meshes, and discrete curvatures.

Microscopy Objectives: Correction and Aberrations

Covers the correction of major optical aberrations in microscopy and the design of commonly used objectives like achromats and apochromats.

Differential Geometry: Curves

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

General Covariance in Gravitational Field

Explores general covariance, Riemann tensor, Bianchi identities, and Einstein tensor in gravitational field.

Optical Aberrations: Understanding and Minimizing

Explores optical aberrations, including spherical aberration, astigmatism, and chromatic aberration, and discusses methods to minimize them.

Microscopic Analyses & Electron Sources

Covers microscopic analyses using optical and electron microscopy, as well as electron sources.

Surfaces and Curvature in 3D Modeling

Explores surfaces and curvature in 3D modeling, covering zero curvature, variable curvature, and constant canonical curvatures.

Einstein Equations

Explores the Bianchi identity, Einstein tensor, and action principle for fields.

Optical Aberrations: Spherical and Chromatic

Explores spherical and chromatic aberrations, their types, corrections, and effects on imaging quality.

Optical Aberrations: Spherical and Chromatic

Explores spherical aberration, astigmatism, coma, and chromatic aberration in lenses.