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Lecture
Tensors and Normal Coordinates
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Related lectures (38)
Covariant Derivatives and Christoffel Symbols
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Tensors and Lorentz Transformations
Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.
Christoffel Symbols and Gravity Before Einstein
Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.
Tensor Analysis: Coordinate Systems
Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.
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Vector Transformation and Tense
Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.
Spherical Tensors and Wigner-Eckart Theorem
Covers the transformation of vectors and tensors in quantum physics.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Special and General Relativity
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Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.
Stereographic Projection and Metric Tensors
Explores stereographic projection and metric tensors on hyperbolic planes, emphasizing isometry and conforming models.
Riemann Tensor and Ricci Scalar
Covers the properties of the Riemann tensor and Ricci scalar in normal coordinates.
Developable Surfaces and Parametrization
Explores developable surfaces, parametrization, equations verification, and conformally flat surfaces.
Differential Geometry of Surfaces
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Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Shells I: Mechanics of Slender Structures
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Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.
Shells I
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Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.
Shells I: Mechanics of Slender Structure
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Covers thin pressure vessels, differential geometry of surfaces, and plate buckling theories.
Chemical Environments: Representations and Correlations
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Explores chemical environment representations, symmetrized correlations, and machine learning applications at the atomic scale.
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