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Contents
Common terms and phrasesaffine connection arbitrary axial basis vectors calculus called canonical form chapter commute components congruence Consider const coordinate basis coordinate system d/dX defined definition differential equations differential forms differential geometry dimension dimensional dual eigenvalues element Euclidean space example Exercise exterior derivative fact fiber bundle figure follows function geodesic gives GL(n global gradient Hamiltonian hypersurface identity integral curves invariant inverse isotropy group Killing vector fields Lie algebra Lie bracket Lie derivative Lie dragging Lie group linear combination linearly independent manifold mathematical matrix metric tensor neighborhood notation one-dimensional one-form one-parameter subgroup open set operator orthonormal p-form parallel parallel-transport parameter permutation phase space physics properties prove real numbers region rotation scalar Show simply solution spacetime sphere spherical harmonics structure submanifold subspace symmetric tangent space tangent vector tensor field theorem theory three-dimensional topology transformation two-dimensional two-form unique vanish vector space volume-form zero References to this bookFrom other books
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