Differential-geometry tutorials, questions, and

How to find the intrinsic covariant derivative component?

January 2nd, 2020

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Killing vectors in flat FLRW metric

June 26th, 2020

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Polyakov action: difference induced metric and dynamical metric

August 1st, 2022

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Why do we need a metric to define gradient?

February 4th, 2021

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Why is Minkowski spacetime in polar coordinates treated in texts as flat spacetime?

June 27th, 2020

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Conservative vector fields

July 28th, 2020

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Geodesic deviation equation - why does the ordinary second derivative give the correct answer?

October 20th, 2020

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Generalized divergence of tensor in GR

October 2nd, 2020

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In the static spacetime, the extrinsic curvature of hypersurface $t=constant$ is zero

August 1st, 2022

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Lorentz invariance of the 3 + 1 decomposition of spacetime

August 11th, 2022

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How is the second-order covariant derivative of a scalar computed?

August 1st, 2022

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Calculate divergence of vector in curvilinear coordinates using the metric

April 30th, 2020

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Trace of a Tensor

August 1st, 2022

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What is the qualitative difference in the information contained by Gaussian curvature and Riemann curvature tensor in General Relativity?

August 1st, 2022

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Curved space-time VS change of coordinates in Minkowski space

November 23rd, 2020

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Fiber bundle understanding of the wavefunction

June 7th, 2020

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Hodge star operator on curvature?

April 17th, 2022

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Curvature of Conical spacetime

August 1st, 2022

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What is the physical interpretation of harmonic coordinates?

August 1st, 2022

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Difference between $\partial$ and $\nabla$ in general relativity

June 6th, 2020

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First and second fundamental forms

May 1st, 2020

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What are Hamilton's equations with respect to a nonstandard symplectic form?

August 12th, 2022

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Green's function on torus

August 1st, 2022

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What manifold is spacetime?

August 1st, 2022

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Maxwell's equation in curved spacetime - how come? And experimental evidence?

August 1st, 2022

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Finding 3-Sphere Christoffel connection coefficients using variational calculus, Sean Carrol problem

December 27th, 2020

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Vector Potential for Magnetic field when the field is not in simply-connected region

August 1st, 2022

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Physical intuition of spin connection and spinor bundles?

June 15th, 2020

general-relativity differential-geometry group-theory spinors

Recommendation on mathematical physics book of Symplectic geometry

August 1st, 2022

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Is there a natural (suitable) definition for functional derivative in Curved space time

June 21st, 2020

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