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Concept

Tensor field

Related lectures (24)

Deformation and Strain Tensors

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Flat Space-Time: Conditions and Theorems

Covers the necessary conditions and theorems to have flat space-time and discusses the symmetry properties of the Riemann tensor.

Gravity and Motion

Explores force of motion, dimensions, gravity, tensor fields, and equivalence principle.

Special Relativity

Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.

Tensor Analysis: Coordinate Systems

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Tensors and Lorentz Transformations

Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.

Scalar, Vector or Tensor? Gravity

Discusses defining tensors, space-time dimensionality, and challenges in formulating a relativistic theory of gravity.

Tensor Spaces and Unitary Representations

Explores tensor spaces, unitary representations, and prime factorization in mathematical presentations.

Riemann Tensor and Ricci Scalar

Covers the properties of the Riemann tensor and Ricci scalar in normal coordinates.

Christoffel Symbols and Gravity Before Einstein

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

Geodesics and Parallel Transport

Explores geodesics, parallel transport, and the Riemann tensor on two-dimensional manifolds, emphasizing fundamental concepts in differential geometry.

Tensor Properties

Covers the properties of tensors and their applications in various fields.

Untitled

General Covariance in Gravitational Field

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

Linear Momentum Conservation and Stress in Continuum Log in to Mediaspace to watch this video

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Continuum Mechanics: Conservation Laws, Tensor Objects, and Fluid Dynamics Log in to Mediaspace to watch this video

Covers conservation laws, tensor objects, and fluid dynamics in Continuum Mechanics.

Stress Tensor and Transformation Laws in Continuum Mechanics Log in to Mediaspace to watch this video

Covers stress tensors, their components, and transformation laws in continuum mechanics.

Continuum Mechanics: Mass Conservation Log in to Mediaspace to watch this video

Explores mass conservation in continuum mechanics, covering stress, dynamics, constitutive laws, and solid deformation.

Stress Components & Transformation of Tensors Log in to Mediaspace to watch this video

Covers stress components, tensor transformation, and invariants in continuum mechanics.

Covariance and Contravariance of Vectors Log in to Mediaspace to watch this video

Explains covariance and contravariance of vectors in multilinear algebra and tensor analysis, focusing on their behavior under changes in basis and scale.