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Differential-geometry
New post in Differential-geometry
How to find the intrinsic covariant derivative component?
January 2nd, 2020
differentiation
general-relativity
covariance
differential-geometry
Killing vectors in flat FLRW metric
June 26th, 2020
differential-geometry
cosmology
geodesics
general-relativity
Polyakov action: difference induced metric and dynamical metric
August 1st, 2022
string-theory
differential-geometry
action
metric-tensor
Why do we need a metric to define gradient?
February 4th, 2021
metric-tensor
differential-geometry
covariance
differentiation
tensor-calculus
Why is Minkowski spacetime in polar coordinates treated in texts as flat spacetime?
June 27th, 2020
differential-geometry
metric-tensor
tensor-calculus
general-relativity
curvature
Conservative vector fields
July 28th, 2020
vector-fields
topology
differential-geometry
homework-and-exercises
Geodesic deviation equation - why does the ordinary second derivative give the correct answer?
October 20th, 2020
general-relativity
differential-geometry
geodesics
Generalized divergence of tensor in GR
October 2nd, 2020
definition
differentiation
tensor-calculus
differential-geometry
general-relativity
In the static spacetime, the extrinsic curvature of hypersurface $t=constant$ is zero
August 1st, 2022
homework-and-exercises
general-relativity
differential-geometry
curvature
Lorentz invariance of the 3 + 1 decomposition of spacetime
August 11th, 2022
general-relativity
symmetry
differential-geometry
hamiltonian-formalism
How is the second-order covariant derivative of a scalar computed?
August 1st, 2022
homework-and-exercises
general-relativity
differential-geometry
metric-tensor
differentiation
Calculate divergence of vector in curvilinear coordinates using the metric
April 30th, 2020
differential-geometry
metric-tensor
vector-fields
homework-and-exercises
Trace of a Tensor
August 1st, 2022
general-relativity
differential-geometry
tensor-calculus
covariance
trace
What is the qualitative difference in the information contained by Gaussian curvature and Riemann curvature tensor in General Relativity?
August 1st, 2022
general-relativity
differential-geometry
curvature
Curved space-time VS change of coordinates in Minkowski space
November 23rd, 2020
equivalence-principle
curvature
coordinate-systems
differential-geometry
general-relativity
Fiber bundle understanding of the wavefunction
June 7th, 2020
differential-geometry
quantum-mechanics
wavefunction
Hodge star operator on curvature?
April 17th, 2022
differential-geometry
tensor-calculus
gauge-theory
curvature
yang-mills
Curvature of Conical spacetime
August 1st, 2022
mathematical-physics
differential-geometry
topology
general-relativity
What is the physical interpretation of harmonic coordinates?
August 1st, 2022
general-relativity
differential-geometry
gauge-theory
coordinate-systems
Difference between $\partial$ and $\nabla$ in general relativity
June 6th, 2020
general-relativity
differential-geometry
notation
curvature
tensor-calculus
First and second fundamental forms
May 1st, 2020
general-relativity
differential-geometry
What are Hamilton's equations with respect to a nonstandard symplectic form?
August 12th, 2022
classical-mechanics
mathematical-physics
differential-geometry
hamiltonian-formalism
Green's function on torus
August 1st, 2022
differential-geometry
string-theory
conformal-field-theory
greens-functions
dirac-delta-distributions
What manifold is spacetime?
August 1st, 2022
metric-tensor
topology
general-relativity
spacetime
differential-geometry
Maxwell's equation in curved spacetime - how come? And experimental evidence?
August 1st, 2022
maxwell-equations
differential-geometry
general-relativity
electromagnetism
qft-in-curved-spacetime
Finding 3-Sphere Christoffel connection coefficients using variational calculus, Sean Carrol problem
December 27th, 2020
geodesics
variational-principle
differential-geometry
lagrangian-formalism
homework-and-exercises
Vector Potential for Magnetic field when the field is not in simply-connected region
August 1st, 2022
gauge-theory
differential-geometry
mathematical-physics
electromagnetism
topology
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
hamiltonian-formalism
resource-recommendations
differential-geometry
mathematical-physics
Is there a natural (suitable) definition for functional derivative in Curved space time
June 21st, 2020
general-relativity
mathematical-physics
differential-geometry
qft-in-curved-spacetime
functional-derivatives
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