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15
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Reading off connection 1-forms from Cartan's structural equation $de=-\omega\wedge e$

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#differential-geometry #differential-forms #connections #semi-riemannian-geometry
92
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Understanding differential geometry result

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#differential-geometry #differential-topology #semi-riemannian-geometry
79
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Partial derivative in O'Neill's book

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#semi-riemannian-geometry
35
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Wrong sign in the energy method on Minkowski space

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#calculus #physics #stokes-theorem #divergence-operator #semi-riemannian-geometry
37
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Integrals over a space with Lorentz signature metric

Published on
#semi-riemannian-geometry
81
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Doubt in the Second fundamental form of a immersed manifold

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#geometry #differential-geometry #riemannian-geometry #semi-riemannian-geometry
60
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Completeness of projection of vector fields

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#differential-geometry #riemannian-geometry #semi-riemannian-geometry
92
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Gram-Schmidt process to construct orthonormal base in a finite vector space with indefinite scalar product.

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#linear-algebra #inner-products #semi-riemannian-geometry #gram-schmidt
20
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Non-degenarate subspace with indefinite inner product.

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#riemannian-geometry #inner-products #semi-riemannian-geometry
34
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Contraction of a lightlike vector with another vector (free cordinate)

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#riemannian-geometry #inner-products #semi-riemannian-geometry
161
Views

Shape operator as a tensor field defined in a submanifold

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#differential-geometry #tensors #submanifold #semi-riemannian-geometry
70
Views

Extendibility of a curve in a compact subset (Lemma 14.2 in O'Neill's book)

Published on
#differential-geometry #general-relativity #semi-riemannian-geometry
41
Views

Pullback Connection/Riccati-Equation

Published on
#connections #semi-riemannian-geometry #pullback
104
Views

Conjugate points and expansion of the geodesic congruence

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#differential-geometry #riemannian-geometry #geodesic #general-relativity #semi-riemannian-geometry
112
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general form of a Lorentz transformation in $\mathbb{R}^2$

Published on
#geometry #hyperbolic-geometry #hyperbolic-functions #semi-riemannian-geometry

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